Finding the Third Proportional to 31,262 and 65,791

Step by Step Solution

1. Step 1: Write the proportion equation
   31,262 : 65,791 = 65,791 : x
2. Step 2: Convert to fraction form
   31,262/65,791 = 65,791/x
3. Step 3: Cross multiply
   31,262x = 65,791 × 65,791
4. Step 4: Simplify right side
   31,262x = 4,328,455,681
5. Step 5: Solve for x
   x = 4,328,455,681/31,262
6. Step 6: Final answer
   x = 138,457.41