Finding the Third Proportional to 31,294 and 65,177

Step by Step Solution

1. Step 1: Write the proportion equation
   31,294 : 65,177 = 65,177 : x
2. Step 2: Convert to fraction form
   31,294/65,177 = 65,177/x
3. Step 3: Cross multiply
   31,294x = 65,177 × 65,177
4. Step 4: Simplify right side
   31,294x = 4,248,041,329
5. Step 5: Solve for x
   x = 4,248,041,329/31,294
6. Step 6: Final answer
   x = 135,746.19