Finding the Third Proportional to 6,165.75 and 13,561.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,165.75 : 13,561.50 = 13,561.50 : x
2. Step 2: Convert to fraction form
   6,165.75/13,561.50 = 13,561.50/x
3. Step 3: Cross multiply
   6,165.75x = 13,561.50 × 13,561.50
4. Step 4: Simplify right side
   6,165.75x = 183,914,282.25
5. Step 5: Solve for x
   x = 183,914,282.25/6,165.75
6. Step 6: Final answer
   x = 29,828.37