Finding the Third Proportional to 31,342 and 65,276

Step by Step Solution

1. Step 1: Write the proportion equation
   31,342 : 65,276 = 65,276 : x
2. Step 2: Convert to fraction form
   31,342/65,276 = 65,276/x
3. Step 3: Cross multiply
   31,342x = 65,276 × 65,276
4. Step 4: Simplify right side
   31,342x = 4,260,956,176
5. Step 5: Solve for x
   x = 4,260,956,176/31,342
6. Step 6: Final answer
   x = 135,950.36