Finding the Third Proportional to 10,158 and 22,159.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,158 : 22,159.50 = 22,159.50 : x
2. Step 2: Convert to fraction form
   10,158/22,159.50 = 22,159.50/x
3. Step 3: Cross multiply
   10,158x = 22,159.50 × 22,159.50
4. Step 4: Simplify right side
   10,158x = 491,043,440.25
5. Step 5: Solve for x
   x = 491,043,440.25/10,158
6. Step 6: Final answer
   x = 48,340.56