Finding the Third Proportional to 33,997.50 and 74,418

Step by Step Solution

1. Step 1: Write the proportion equation
   33,997.50 : 74,418 = 74,418 : x
2. Step 2: Convert to fraction form
   33,997.50/74,418 = 74,418/x
3. Step 3: Cross multiply
   33,997.50x = 74,418 × 74,418
4. Step 4: Simplify right side
   33,997.50x = 5,538,038,724
5. Step 5: Solve for x
   x = 5,538,038,724/33,997.50
6. Step 6: Final answer
   x = 162,895.47