Finding the Third Proportional to 14,786 and 31,748

Step by Step Solution

1. Step 1: Write the proportion equation
   14,786 : 31,748 = 31,748 : x
2. Step 2: Convert to fraction form
   14,786/31,748 = 31,748/x
3. Step 3: Cross multiply
   14,786x = 31,748 × 31,748
4. Step 4: Simplify right side
   14,786x = 1,007,935,504
5. Step 5: Solve for x
   x = 1,007,935,504/14,786
6. Step 6: Final answer
   x = 68,168.23