Finding the Third Proportional to 33,413 and 69,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,413 : 69,581.50 = 69,581.50 : x
2. Step 2: Convert to fraction form
   33,413/69,581.50 = 69,581.50/x
3. Step 3: Cross multiply
   33,413x = 69,581.50 × 69,581.50
4. Step 4: Simplify right side
   33,413x = 4,841,585,142.25
5. Step 5: Solve for x
   x = 4,841,585,142.25/33,413
6. Step 6: Final answer
   x = 144,901.24