Finding the Third Proportional to 31,862.25 and 65,772

Step by Step Solution

1. Step 1: Write the proportion equation
   31,862.25 : 65,772 = 65,772 : x
2. Step 2: Convert to fraction form
   31,862.25/65,772 = 65,772/x
3. Step 3: Cross multiply
   31,862.25x = 65,772 × 65,772
4. Step 4: Simplify right side
   31,862.25x = 4,325,955,984
5. Step 5: Solve for x
   x = 4,325,955,984/31,862.25
6. Step 6: Final answer
   x = 135,770.57