Finding the Third Proportional to 12,565.13 and 26,164.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,565.13 : 26,164.69 = 26,164.69 : x
2. Step 2: Convert to fraction form
   12,565.13/26,164.69 = 26,164.69/x
3. Step 3: Cross multiply
   12,565.13x = 26,164.69 × 26,164.69
4. Step 4: Simplify right side
   12,565.13x = 684,590,871.97
5. Step 5: Solve for x
   x = 684,590,871.97/12,565.13
6. Step 6: Final answer
   x = 54,483.41