Finding the Third Proportional to 42,750 and 57,057

Step by Step Solution

1. Step 1: Write the proportion equation
   42,750 : 57,057 = 57,057 : x
2. Step 2: Convert to fraction form
   42,750/57,057 = 57,057/x
3. Step 3: Cross multiply
   42,750x = 57,057 × 57,057
4. Step 4: Simplify right side
   42,750x = 3,255,501,249
5. Step 5: Solve for x
   x = 3,255,501,249/42,750
6. Step 6: Final answer
   x = 76,152.08