Finding the Third Proportional to 32,208 and 72,862.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,208 : 72,862.50 = 72,862.50 : x
2. Step 2: Convert to fraction form
   32,208/72,862.50 = 72,862.50/x
3. Step 3: Cross multiply
   32,208x = 72,862.50 × 72,862.50
4. Step 4: Simplify right side
   32,208x = 5,308,943,906.25
5. Step 5: Solve for x
   x = 5,308,943,906.25/32,208
6. Step 6: Final answer
   x = 164,833.08