Finding the Third Proportional to 10,623.66 and 15,641.86

Step by Step Solution

1. Step 1: Write the proportion equation
   10,623.66 : 15,641.86 = 15,641.86 : x
2. Step 2: Convert to fraction form
   10,623.66/15,641.86 = 15,641.86/x
3. Step 3: Cross multiply
   10,623.66x = 15,641.86 × 15,641.86
4. Step 4: Simplify right side
   10,623.66x = 244,667,764.71
5. Step 5: Solve for x
   x = 244,667,764.71/10,623.66
6. Step 6: Final answer
   x = 23,030.47