Finding the Third Proportional to 33,374 and 72,562

Step by Step Solution

1. Step 1: Write the proportion equation
   33,374 : 72,562 = 72,562 : x
2. Step 2: Convert to fraction form
   33,374/72,562 = 72,562/x
3. Step 3: Cross multiply
   33,374x = 72,562 × 72,562
4. Step 4: Simplify right side
   33,374x = 5,265,243,844
5. Step 5: Solve for x
   x = 5,265,243,844/33,374
6. Step 6: Final answer
   x = 157,764.84