Finding the Third Proportional to 31,540 and 48,835

Step by Step Solution

1. Step 1: Write the proportion equation
   31,540 : 48,835 = 48,835 : x
2. Step 2: Convert to fraction form
   31,540/48,835 = 48,835/x
3. Step 3: Cross multiply
   31,540x = 48,835 × 48,835
4. Step 4: Simplify right side
   31,540x = 2,384,857,225
5. Step 5: Solve for x
   x = 2,384,857,225/31,540
6. Step 6: Final answer
   x = 75,613.74