Finding the Third Proportional to 31,941 and 65,931.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,941 : 65,931.75 = 65,931.75 : x
2. Step 2: Convert to fraction form
   31,941/65,931.75 = 65,931.75/x
3. Step 3: Cross multiply
   31,941x = 65,931.75 × 65,931.75
4. Step 4: Simplify right side
   31,941x = 4,346,995,658.06
5. Step 5: Solve for x
   x = 4,346,995,658.06/31,941
6. Step 6: Final answer
   x = 136,094.54