Finding the Third Proportional to 31,862 and 49,130

Step by Step Solution

1. Step 1: Write the proportion equation
   31,862 : 49,130 = 49,130 : x
2. Step 2: Convert to fraction form
   31,862/49,130 = 49,130/x
3. Step 3: Cross multiply
   31,862x = 49,130 × 49,130
4. Step 4: Simplify right side
   31,862x = 2,413,756,900
5. Step 5: Solve for x
   x = 2,413,756,900/31,862
6. Step 6: Final answer
   x = 75,756.60