Finding the Third Proportional to 33,314.50 and 71,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,314.50 : 71,569.50 = 71,569.50 : x
2. Step 2: Convert to fraction form
   33,314.50/71,569.50 = 71,569.50/x
3. Step 3: Cross multiply
   33,314.50x = 71,569.50 × 71,569.50
4. Step 4: Simplify right side
   33,314.50x = 5,122,193,330.25
5. Step 5: Solve for x
   x = 5,122,193,330.25/33,314.50
6. Step 6: Final answer
   x = 153,752.67