Finding the Third Proportional to 6,106.50 and 13,002.75

Step by Step Solution

1. Step 1: Write the proportion equation
   6,106.50 : 13,002.75 = 13,002.75 : x
2. Step 2: Convert to fraction form
   6,106.50/13,002.75 = 13,002.75/x
3. Step 3: Cross multiply
   6,106.50x = 13,002.75 × 13,002.75
4. Step 4: Simplify right side
   6,106.50x = 169,071,507.56
5. Step 5: Solve for x
   x = 169,071,507.56/6,106.50
6. Step 6: Final answer
   x = 27,687.14