Finding the Third Proportional to 38,484 and 57,978

Step by Step Solution

1. Step 1: Write the proportion equation
   38,484 : 57,978 = 57,978 : x
2. Step 2: Convert to fraction form
   38,484/57,978 = 57,978/x
3. Step 3: Cross multiply
   38,484x = 57,978 × 57,978
4. Step 4: Simplify right side
   38,484x = 3,361,448,484
5. Step 5: Solve for x
   x = 3,361,448,484/38,484
6. Step 6: Final answer
   x = 87,346.65