Finding the Third Proportional to 10,580.63 and 22,831.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,580.63 : 22,831.88 = 22,831.88 : x
2. Step 2: Convert to fraction form
   10,580.63/22,831.88 = 22,831.88/x
3. Step 3: Cross multiply
   10,580.63x = 22,831.88 × 22,831.88
4. Step 4: Simplify right side
   10,580.63x = 521,294,516.02
5. Step 5: Solve for x
   x = 521,294,516.02/10,580.63
6. Step 6: Final answer
   x = 49,268.78