Finding the Third Proportional to 31,508 and 49,316

Step by Step Solution

1. Step 1: Write the proportion equation
   31,508 : 49,316 = 49,316 : x
2. Step 2: Convert to fraction form
   31,508/49,316 = 49,316/x
3. Step 3: Cross multiply
   31,508x = 49,316 × 49,316
4. Step 4: Simplify right side
   31,508x = 2,432,067,856
5. Step 5: Solve for x
   x = 2,432,067,856/31,508
6. Step 6: Final answer
   x = 77,188.90