Finding the Third Proportional to 31,310 and 65,206

Step by Step Solution

1. Step 1: Write the proportion equation
   31,310 : 65,206 = 65,206 : x
2. Step 2: Convert to fraction form
   31,310/65,206 = 65,206/x
3. Step 3: Cross multiply
   31,310x = 65,206 × 65,206
4. Step 4: Simplify right side
   31,310x = 4,251,822,436
5. Step 5: Solve for x
   x = 4,251,822,436/31,310
6. Step 6: Final answer
   x = 135,797.59