Finding the Third Proportional to 53,721 and 75,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,721 : 75,517.50 = 75,517.50 : x
2. Step 2: Convert to fraction form
   53,721/75,517.50 = 75,517.50/x
3. Step 3: Cross multiply
   53,721x = 75,517.50 × 75,517.50
4. Step 4: Simplify right side
   53,721x = 5,702,892,806.25
5. Step 5: Solve for x
   x = 5,702,892,806.25/53,721
6. Step 6: Final answer
   x = 106,157.61