Finding the Third Proportional to 31,712 and 49,086

Step by Step Solution

1. Step 1: Write the proportion equation
   31,712 : 49,086 = 49,086 : x
2. Step 2: Convert to fraction form
   31,712/49,086 = 49,086/x
3. Step 3: Cross multiply
   31,712x = 49,086 × 49,086
4. Step 4: Simplify right side
   31,712x = 2,409,435,396
5. Step 5: Solve for x
   x = 2,409,435,396/31,712
6. Step 6: Final answer
   x = 75,978.66