Finding the Third Proportional to 38,518 and 83,978

Step by Step Solution

1. Step 1: Write the proportion equation
   38,518 : 83,978 = 83,978 : x
2. Step 2: Convert to fraction form
   38,518/83,978 = 83,978/x
3. Step 3: Cross multiply
   38,518x = 83,978 × 83,978
4. Step 4: Simplify right side
   38,518x = 7,052,304,484
5. Step 5: Solve for x
   x = 7,052,304,484/38,518
6. Step 6: Final answer
   x = 183,091.14