Finding the Third Proportional to 31,147 and 63,215

Step by Step Solution

1. Step 1: Write the proportion equation
   31,147 : 63,215 = 63,215 : x
2. Step 2: Convert to fraction form
   31,147/63,215 = 63,215/x
3. Step 3: Cross multiply
   31,147x = 63,215 × 63,215
4. Step 4: Simplify right side
   31,147x = 3,996,136,225
5. Step 5: Solve for x
   x = 3,996,136,225/31,147
6. Step 6: Final answer
   x = 128,299.23