Finding the Third Proportional to 42,450 and 57,447

Step by Step Solution

1. Step 1: Write the proportion equation
   42,450 : 57,447 = 57,447 : x
2. Step 2: Convert to fraction form
   42,450/57,447 = 57,447/x
3. Step 3: Cross multiply
   42,450x = 57,447 × 57,447
4. Step 4: Simplify right side
   42,450x = 3,300,157,809
5. Step 5: Solve for x
   x = 3,300,157,809/42,450
6. Step 6: Final answer
   x = 77,742.23