Finding the Third Proportional to 31,320 and 47,757

Step by Step Solution

1. Step 1: Write the proportion equation
   31,320 : 47,757 = 47,757 : x
2. Step 2: Convert to fraction form
   31,320/47,757 = 47,757/x
3. Step 3: Cross multiply
   31,320x = 47,757 × 47,757
4. Step 4: Simplify right side
   31,320x = 2,280,731,049
5. Step 5: Solve for x
   x = 2,280,731,049/31,320
6. Step 6: Final answer
   x = 72,820.28