Finding the Third Proportional to 35,977 and 56,320

Step by Step Solution

1. Step 1: Write the proportion equation
   35,977 : 56,320 = 56,320 : x
2. Step 2: Convert to fraction form
   35,977/56,320 = 56,320/x
3. Step 3: Cross multiply
   35,977x = 56,320 × 56,320
4. Step 4: Simplify right side
   35,977x = 3,171,942,400
5. Step 5: Solve for x
   x = 3,171,942,400/35,977
6. Step 6: Final answer
   x = 88,165.84