Finding the Third Proportional to 37,977 and 56,655

Step by Step Solution

1. Step 1: Write the proportion equation
   37,977 : 56,655 = 56,655 : x
2. Step 2: Convert to fraction form
   37,977/56,655 = 56,655/x
3. Step 3: Cross multiply
   37,977x = 56,655 × 56,655
4. Step 4: Simplify right side
   37,977x = 3,209,789,025
5. Step 5: Solve for x
   x = 3,209,789,025/37,977
6. Step 6: Final answer
   x = 84,519.29