Finding the Third Proportional to 6,185 and 12,565.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,185 : 12,565.50 = 12,565.50 : x
2. Step 2: Convert to fraction form
   6,185/12,565.50 = 12,565.50/x
3. Step 3: Cross multiply
   6,185x = 12,565.50 × 12,565.50
4. Step 4: Simplify right side
   6,185x = 157,891,790.25
5. Step 5: Solve for x
   x = 157,891,790.25/6,185
6. Step 6: Final answer
   x = 25,528.18