Finding the Third Proportional to 38,401 and 58,139

Step by Step Solution

1. Step 1: Write the proportion equation
   38,401 : 58,139 = 58,139 : x
2. Step 2: Convert to fraction form
   38,401/58,139 = 58,139/x
3. Step 3: Cross multiply
   38,401x = 58,139 × 58,139
4. Step 4: Simplify right side
   38,401x = 3,380,143,321
5. Step 5: Solve for x
   x = 3,380,143,321/38,401
6. Step 6: Final answer
   x = 88,022.27