Finding the Third Proportional to 38,168 and 58,385

Step by Step Solution

1. Step 1: Write the proportion equation
   38,168 : 58,385 = 58,385 : x
2. Step 2: Convert to fraction form
   38,168/58,385 = 58,385/x
3. Step 3: Cross multiply
   38,168x = 58,385 × 58,385
4. Step 4: Simplify right side
   38,168x = 3,408,808,225
5. Step 5: Solve for x
   x = 3,408,808,225/38,168
6. Step 6: Final answer
   x = 89,310.63