Finding the Third Proportional to 17,721 and 42,277.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,721 : 42,277.50 = 42,277.50 : x
2. Step 2: Convert to fraction form
   17,721/42,277.50 = 42,277.50/x
3. Step 3: Cross multiply
   17,721x = 42,277.50 × 42,277.50
4. Step 4: Simplify right side
   17,721x = 1,787,387,006.25
5. Step 5: Solve for x
   x = 1,787,387,006.25/17,721
6. Step 6: Final answer
   x = 100,862.65