Finding the Third Proportional to 37,440 and 56,025

Step by Step Solution

1. Step 1: Write the proportion equation
   37,440 : 56,025 = 56,025 : x
2. Step 2: Convert to fraction form
   37,440/56,025 = 56,025/x
3. Step 3: Cross multiply
   37,440x = 56,025 × 56,025
4. Step 4: Simplify right side
   37,440x = 3,138,800,625
5. Step 5: Solve for x
   x = 3,138,800,625/37,440
6. Step 6: Final answer
   x = 83,835.49