Finding the Third Proportional to 38,464 and 82,760

Step by Step Solution

1. Step 1: Write the proportion equation
   38,464 : 82,760 = 82,760 : x
2. Step 2: Convert to fraction form
   38,464/82,760 = 82,760/x
3. Step 3: Cross multiply
   38,464x = 82,760 × 82,760
4. Step 4: Simplify right side
   38,464x = 6,849,217,600
5. Step 5: Solve for x
   x = 6,849,217,600/38,464
6. Step 6: Final answer
   x = 178,068.26