Finding the Third Proportional to 27,401 and 58,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,401 : 58,896.50 = 58,896.50 : x
2. Step 2: Convert to fraction form
   27,401/58,896.50 = 58,896.50/x
3. Step 3: Cross multiply
   27,401x = 58,896.50 × 58,896.50
4. Step 4: Simplify right side
   27,401x = 3,468,797,712.25
5. Step 5: Solve for x
   x = 3,468,797,712.25/27,401
6. Step 6: Final answer
   x = 126,593.84