Finding the Third Proportional to 32,100 and 71,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,100 : 71,578.50 = 71,578.50 : x
2. Step 2: Convert to fraction form
   32,100/71,578.50 = 71,578.50/x
3. Step 3: Cross multiply
   32,100x = 71,578.50 × 71,578.50
4. Step 4: Simplify right side
   32,100x = 5,123,481,662.25
5. Step 5: Solve for x
   x = 5,123,481,662.25/32,100
6. Step 6: Final answer
   x = 159,610.02