Finding the Third Proportional to 6,150 and 13,566

Step by Step Solution

1. Step 1: Write the proportion equation
   6,150 : 13,566 = 13,566 : x
2. Step 2: Convert to fraction form
   6,150/13,566 = 13,566/x
3. Step 3: Cross multiply
   6,150x = 13,566 × 13,566
4. Step 4: Simplify right side
   6,150x = 184,036,356
5. Step 5: Solve for x
   x = 184,036,356/6,150
6. Step 6: Final answer
   x = 29,924.61