Finding the Third Proportional to 6,061.50 and 9,098.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,061.50 : 9,098.25 = 9,098.25 : x
2. Step 2: Convert to fraction form
   6,061.50/9,098.25 = 9,098.25/x
3. Step 3: Cross multiply
   6,061.50x = 9,098.25 × 9,098.25
4. Step 4: Simplify right side
   6,061.50x = 82,778,153.06
5. Step 5: Solve for x
   x = 82,778,153.06/6,061.50
6. Step 6: Final answer
   x = 13,656.38