Finding the Third Proportional to 38,166 and 58,384

Step by Step Solution

1. Step 1: Write the proportion equation
   38,166 : 58,384 = 58,384 : x
2. Step 2: Convert to fraction form
   38,166/58,384 = 58,384/x
3. Step 3: Cross multiply
   38,166x = 58,384 × 58,384
4. Step 4: Simplify right side
   38,166x = 3,408,691,456
5. Step 5: Solve for x
   x = 3,408,691,456/38,166
6. Step 6: Final answer
   x = 89,312.25