Finding the Third Proportional to 13,179 and 31,762

Step by Step Solution

1. Step 1: Write the proportion equation
   13,179 : 31,762 = 31,762 : x
2. Step 2: Convert to fraction form
   13,179/31,762 = 31,762/x
3. Step 3: Cross multiply
   13,179x = 31,762 × 31,762
4. Step 4: Simplify right side
   13,179x = 1,008,824,644
5. Step 5: Solve for x
   x = 1,008,824,644/13,179
6. Step 6: Final answer
   x = 76,547.89