Finding the Third Proportional to 6,610 and 13,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,610 : 13,868.50 = 13,868.50 : x
2. Step 2: Convert to fraction form
   6,610/13,868.50 = 13,868.50/x
3. Step 3: Cross multiply
   6,610x = 13,868.50 × 13,868.50
4. Step 4: Simplify right side
   6,610x = 192,335,292.25
5. Step 5: Solve for x
   x = 192,335,292.25/6,610
6. Step 6: Final answer
   x = 29,097.62