Finding the Third Proportional to 40,978 and 63,286.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,978 : 63,286.50 = 63,286.50 : x
2. Step 2: Convert to fraction form
   40,978/63,286.50 = 63,286.50/x
3. Step 3: Cross multiply
   40,978x = 63,286.50 × 63,286.50
4. Step 4: Simplify right side
   40,978x = 4,005,181,082.25
5. Step 5: Solve for x
   x = 4,005,181,082.25/40,978
6. Step 6: Final answer
   x = 97,739.79