Finding the Third Proportional to 10,147 and 22,141

Step by Step Solution

1. Step 1: Write the proportion equation
   10,147 : 22,141 = 22,141 : x
2. Step 2: Convert to fraction form
   10,147/22,141 = 22,141/x
3. Step 3: Cross multiply
   10,147x = 22,141 × 22,141
4. Step 4: Simplify right side
   10,147x = 490,223,881
5. Step 5: Solve for x
   x = 490,223,881/10,147
6. Step 6: Final answer
   x = 48,312.20