Finding the Third Proportional to 38,352 and 89,648

Step by Step Solution

1. Step 1: Write the proportion equation
   38,352 : 89,648 = 89,648 : x
2. Step 2: Convert to fraction form
   38,352/89,648 = 89,648/x
3. Step 3: Cross multiply
   38,352x = 89,648 × 89,648
4. Step 4: Simplify right side
   38,352x = 8,036,763,904
5. Step 5: Solve for x
   x = 8,036,763,904/38,352
6. Step 6: Final answer
   x = 209,552.67