Finding the Third Proportional to 31,889 and 65,074

Step by Step Solution

1. Step 1: Write the proportion equation
   31,889 : 65,074 = 65,074 : x
2. Step 2: Convert to fraction form
   31,889/65,074 = 65,074/x
3. Step 3: Cross multiply
   31,889x = 65,074 × 65,074
4. Step 4: Simplify right side
   31,889x = 4,234,625,476
5. Step 5: Solve for x
   x = 4,234,625,476/31,889
6. Step 6: Final answer
   x = 132,792.67