Finding the Third Proportional to 31,314 and 65,214

Step by Step Solution

1. Step 1: Write the proportion equation
   31,314 : 65,214 = 65,214 : x
2. Step 2: Convert to fraction form
   31,314/65,214 = 65,214/x
3. Step 3: Cross multiply
   31,314x = 65,214 × 65,214
4. Step 4: Simplify right side
   31,314x = 4,252,865,796
5. Step 5: Solve for x
   x = 4,252,865,796/31,314
6. Step 6: Final answer
   x = 135,813.56