Finding the Third Proportional to 39,032.50 and 84,578.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,032.50 : 84,578.50 = 84,578.50 : x
2. Step 2: Convert to fraction form
   39,032.50/84,578.50 = 84,578.50/x
3. Step 3: Cross multiply
   39,032.50x = 84,578.50 × 84,578.50
4. Step 4: Simplify right side
   39,032.50x = 7,153,522,662.25
5. Step 5: Solve for x
   x = 7,153,522,662.25/39,032.50
6. Step 6: Final answer
   x = 183,270.93