Finding the Third Proportional to 33,532.50 and 69,819.75

Step by Step Solution

1. Step 1: Write the proportion equation
   33,532.50 : 69,819.75 = 69,819.75 : x
2. Step 2: Convert to fraction form
   33,532.50/69,819.75 = 69,819.75/x
3. Step 3: Cross multiply
   33,532.50x = 69,819.75 × 69,819.75
4. Step 4: Simplify right side
   33,532.50x = 4,874,797,490.06
5. Step 5: Solve for x
   x = 4,874,797,490.06/33,532.50
6. Step 6: Final answer
   x = 145,375.31