Finding the Third Proportional to 10,159.31 and 22,262.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,159.31 : 22,262.06 = 22,262.06 : x
2. Step 2: Convert to fraction form
   10,159.31/22,262.06 = 22,262.06/x
3. Step 3: Cross multiply
   10,159.31x = 22,262.06 × 22,262.06
4. Step 4: Simplify right side
   10,159.31x = 495,599,426.75
5. Step 5: Solve for x
   x = 495,599,426.75/10,159.31
6. Step 6: Final answer
   x = 48,782.77