Finding the Third Proportional to 31,282 and 48,522

Step by Step Solution

1. Step 1: Write the proportion equation
   31,282 : 48,522 = 48,522 : x
2. Step 2: Convert to fraction form
   31,282/48,522 = 48,522/x
3. Step 3: Cross multiply
   31,282x = 48,522 × 48,522
4. Step 4: Simplify right side
   31,282x = 2,354,384,484
5. Step 5: Solve for x
   x = 2,354,384,484/31,282
6. Step 6: Final answer
   x = 75,263.23