Finding the Third Proportional to 39,102 and 85,978

Step by Step Solution

1. Step 1: Write the proportion equation
   39,102 : 85,978 = 85,978 : x
2. Step 2: Convert to fraction form
   39,102/85,978 = 85,978/x
3. Step 3: Cross multiply
   39,102x = 85,978 × 85,978
4. Step 4: Simplify right side
   39,102x = 7,392,216,484
5. Step 5: Solve for x
   x = 7,392,216,484/39,102
6. Step 6: Final answer
   x = 189,049.58