Finding the Third Proportional to 31,196 and 48,486

Step by Step Solution

1. Step 1: Write the proportion equation
   31,196 : 48,486 = 48,486 : x
2. Step 2: Convert to fraction form
   31,196/48,486 = 48,486/x
3. Step 3: Cross multiply
   31,196x = 48,486 × 48,486
4. Step 4: Simplify right side
   31,196x = 2,350,892,196
5. Step 5: Solve for x
   x = 2,350,892,196/31,196
6. Step 6: Final answer
   x = 75,358.77