Finding the Third Proportional to 3,410,938,799,756 and 7,584,514,831,096

Step by Step Solution

1. Step 1: Write the proportion equation
   3,410,938,799,756 : 7,584,514,831,096 = 7,584,514,831,096 : x
2. Step 2: Convert to fraction form
   3,410,938,799,756/7,584,514,831,096 = 7,584,514,831,096/x
3. Step 3: Cross multiply
   3,410,938,799,756x = 7,584,514,831,096 × 7,584,514,831,096
4. Step 4: Simplify right side
   3,410,938,799,756x = 57,524,865,223,115,188,165,672,960
5. Step 5: Solve for x
   x = 57,524,865,223,115,188,165,672,960/3,410,938,799,756
6. Step 6: Final answer
   x = 16,864,818,925,285.38