Finding the Third Proportional to 3,686,688 and 5,642,297

Step by Step Solution

1. Step 1: Write the proportion equation
   3,686,688 : 5,642,297 = 5,642,297 : x
2. Step 2: Convert to fraction form
   3,686,688/5,642,297 = 5,642,297/x
3. Step 3: Cross multiply
   3,686,688x = 5,642,297 × 5,642,297
4. Step 4: Simplify right side
   3,686,688x = 31,835,515,436,209
5. Step 5: Solve for x
   x = 31,835,515,436,209/3,686,688
6. Step 6: Final answer
   x = 8,635,261.63