Finding the Third Proportional to 37,266 and 56,380

Step by Step Solution

1. Step 1: Write the proportion equation
   37,266 : 56,380 = 56,380 : x
2. Step 2: Convert to fraction form
   37,266/56,380 = 56,380/x
3. Step 3: Cross multiply
   37,266x = 56,380 × 56,380
4. Step 4: Simplify right side
   37,266x = 3,178,704,400
5. Step 5: Solve for x
   x = 3,178,704,400/37,266
6. Step 6: Final answer
   x = 85,297.71