Finding the Third Proportional to 14,309 and 31,210

Step by Step Solution

1. Step 1: Write the proportion equation
   14,309 : 31,210 = 31,210 : x
2. Step 2: Convert to fraction form
   14,309/31,210 = 31,210/x
3. Step 3: Cross multiply
   14,309x = 31,210 × 31,210
4. Step 4: Simplify right side
   14,309x = 974,064,100
5. Step 5: Solve for x
   x = 974,064,100/14,309
6. Step 6: Final answer
   x = 68,073.53