Finding the Third Proportional to 34,688 and 75,856

Step by Step Solution

1. Step 1: Write the proportion equation
   34,688 : 75,856 = 75,856 : x
2. Step 2: Convert to fraction form
   34,688/75,856 = 75,856/x
3. Step 3: Cross multiply
   34,688x = 75,856 × 75,856
4. Step 4: Simplify right side
   34,688x = 5,754,132,736
5. Step 5: Solve for x
   x = 5,754,132,736/34,688
6. Step 6: Final answer
   x = 165,882.52