Finding the Third Proportional to 31,484 and 49,141

Step by Step Solution

1. Step 1: Write the proportion equation
   31,484 : 49,141 = 49,141 : x
2. Step 2: Convert to fraction form
   31,484/49,141 = 49,141/x
3. Step 3: Cross multiply
   31,484x = 49,141 × 49,141
4. Step 4: Simplify right side
   31,484x = 2,414,837,881
5. Step 5: Solve for x
   x = 2,414,837,881/31,484
6. Step 6: Final answer
   x = 76,700.48