Finding the Third Proportional to 31,704 and 49,280

Step by Step Solution

1. Step 1: Write the proportion equation
   31,704 : 49,280 = 49,280 : x
2. Step 2: Convert to fraction form
   31,704/49,280 = 49,280/x
3. Step 3: Cross multiply
   31,704x = 49,280 × 49,280
4. Step 4: Simplify right side
   31,704x = 2,428,518,400
5. Step 5: Solve for x
   x = 2,428,518,400/31,704
6. Step 6: Final answer
   x = 76,599.75