Finding the Third Proportional to 37,466 and 56,180

Step by Step Solution

1. Step 1: Write the proportion equation
   37,466 : 56,180 = 56,180 : x
2. Step 2: Convert to fraction form
   37,466/56,180 = 56,180/x
3. Step 3: Cross multiply
   37,466x = 56,180 × 56,180
4. Step 4: Simplify right side
   37,466x = 3,156,192,400
5. Step 5: Solve for x
   x = 3,156,192,400/37,466
6. Step 6: Final answer
   x = 84,241.51