Finding the Third Proportional to 9,657.56 and 16,510.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,657.56 : 16,510.50 = 16,510.50 : x
2. Step 2: Convert to fraction form
   9,657.56/16,510.50 = 16,510.50/x
3. Step 3: Cross multiply
   9,657.56x = 16,510.50 × 16,510.50
4. Step 4: Simplify right side
   9,657.56x = 272,596,610.25
5. Step 5: Solve for x
   x = 272,596,610.25/9,657.56
6. Step 6: Final answer
   x = 28,226.23