Finding the Third Proportional to 38,178 and 58,401

Step by Step Solution

1. Step 1: Write the proportion equation
   38,178 : 58,401 = 58,401 : x
2. Step 2: Convert to fraction form
   38,178/58,401 = 58,401/x
3. Step 3: Cross multiply
   38,178x = 58,401 × 58,401
4. Step 4: Simplify right side
   38,178x = 3,410,676,801
5. Step 5: Solve for x
   x = 3,410,676,801/38,178
6. Step 6: Final answer
   x = 89,336.18