Finding the Third Proportional to 14,760 and 31,853

Step by Step Solution

1. Step 1: Write the proportion equation
   14,760 : 31,853 = 31,853 : x
2. Step 2: Convert to fraction form
   14,760/31,853 = 31,853/x
3. Step 3: Cross multiply
   14,760x = 31,853 × 31,853
4. Step 4: Simplify right side
   14,760x = 1,014,613,609
5. Step 5: Solve for x
   x = 1,014,613,609/14,760
6. Step 6: Final answer
   x = 68,740.76