Finding the Third Proportional to 49,312 and 73,564

Step by Step Solution

1. Step 1: Write the proportion equation
   49,312 : 73,564 = 73,564 : x
2. Step 2: Convert to fraction form
   49,312/73,564 = 73,564/x
3. Step 3: Cross multiply
   49,312x = 73,564 × 73,564
4. Step 4: Simplify right side
   49,312x = 5,411,662,096
5. Step 5: Solve for x
   x = 5,411,662,096/49,312
6. Step 6: Final answer
   x = 109,743.31