Finding the Third Proportional to 10,721 and 25,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,721 : 25,824.50 = 25,824.50 : x
2. Step 2: Convert to fraction form
   10,721/25,824.50 = 25,824.50/x
3. Step 3: Cross multiply
   10,721x = 25,824.50 × 25,824.50
4. Step 4: Simplify right side
   10,721x = 666,904,800.25
5. Step 5: Solve for x
   x = 666,904,800.25/10,721
6. Step 6: Final answer
   x = 62,205.47