Finding the Third Proportional to 38,214 and 59,025

Step by Step Solution

1. Step 1: Write the proportion equation
   38,214 : 59,025 = 59,025 : x
2. Step 2: Convert to fraction form
   38,214/59,025 = 59,025/x
3. Step 3: Cross multiply
   38,214x = 59,025 × 59,025
4. Step 4: Simplify right side
   38,214x = 3,483,950,625
5. Step 5: Solve for x
   x = 3,483,950,625/38,214
6. Step 6: Final answer
   x = 91,169.48