Finding the Third Proportional to 31,289 and 65,166.75

Step by Step Solution

1. Step 1: Write the proportion equation
   31,289 : 65,166.75 = 65,166.75 : x
2. Step 2: Convert to fraction form
   31,289/65,166.75 = 65,166.75/x
3. Step 3: Cross multiply
   31,289x = 65,166.75 × 65,166.75
4. Step 4: Simplify right side
   31,289x = 4,246,705,305.56
5. Step 5: Solve for x
   x = 4,246,705,305.56/31,289
6. Step 6: Final answer
   x = 135,725.18