Finding the Third Proportional to 38,414 and 59,325

Step by Step Solution

1. Step 1: Write the proportion equation
   38,414 : 59,325 = 59,325 : x
2. Step 2: Convert to fraction form
   38,414/59,325 = 59,325/x
3. Step 3: Cross multiply
   38,414x = 59,325 × 59,325
4. Step 4: Simplify right side
   38,414x = 3,519,455,625
5. Step 5: Solve for x
   x = 3,519,455,625/38,414
6. Step 6: Final answer
   x = 91,619.09