Finding the Third Proportional to 31,322.81 and 65,721.38

Step by Step Solution

1. Step 1: Write the proportion equation
   31,322.81 : 65,721.38 = 65,721.38 : x
2. Step 2: Convert to fraction form
   31,322.81/65,721.38 = 65,721.38/x
3. Step 3: Cross multiply
   31,322.81x = 65,721.38 × 65,721.38
4. Step 4: Simplify right side
   31,322.81x = 4,319,299,131.89
5. Step 5: Solve for x
   x = 4,319,299,131.89/31,322.81
6. Step 6: Final answer
   x = 137,896.27