Finding the Third Proportional to 14,407 and 31,274

Step by Step Solution

1. Step 1: Write the proportion equation
   14,407 : 31,274 = 31,274 : x
2. Step 2: Convert to fraction form
   14,407/31,274 = 31,274/x
3. Step 3: Cross multiply
   14,407x = 31,274 × 31,274
4. Step 4: Simplify right side
   14,407x = 978,063,076
5. Step 5: Solve for x
   x = 978,063,076/14,407
6. Step 6: Final answer
   x = 67,888.05