Finding the Third Proportional to 31,897 and 65,090

Step by Step Solution

1. Step 1: Write the proportion equation
   31,897 : 65,090 = 65,090 : x
2. Step 2: Convert to fraction form
   31,897/65,090 = 65,090/x
3. Step 3: Cross multiply
   31,897x = 65,090 × 65,090
4. Step 4: Simplify right side
   31,897x = 4,236,708,100
5. Step 5: Solve for x
   x = 4,236,708,100/31,897
6. Step 6: Final answer
   x = 132,824.66