Finding the Third Proportional to 31,312 and 65,210

Step by Step Solution

1. Step 1: Write the proportion equation
   31,312 : 65,210 = 65,210 : x
2. Step 2: Convert to fraction form
   31,312/65,210 = 65,210/x
3. Step 3: Cross multiply
   31,312x = 65,210 × 65,210
4. Step 4: Simplify right side
   31,312x = 4,252,344,100
5. Step 5: Solve for x
   x = 4,252,344,100/31,312
6. Step 6: Final answer
   x = 135,805.57