Finding the Third Proportional to 31,680 and 49,272

Step by Step Solution

1. Step 1: Write the proportion equation
   31,680 : 49,272 = 49,272 : x
2. Step 2: Convert to fraction form
   31,680/49,272 = 49,272/x
3. Step 3: Cross multiply
   31,680x = 49,272 × 49,272
4. Step 4: Simplify right side
   31,680x = 2,427,729,984
5. Step 5: Solve for x
   x = 2,427,729,984/31,680
6. Step 6: Final answer
   x = 76,632.89