Finding the Third Proportional to 23,978 and 37,613.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,978 : 37,613.50 = 37,613.50 : x
2. Step 2: Convert to fraction form
   23,978/37,613.50 = 37,613.50/x
3. Step 3: Cross multiply
   23,978x = 37,613.50 × 37,613.50
4. Step 4: Simplify right side
   23,978x = 1,414,775,382.25
5. Step 5: Solve for x
   x = 1,414,775,382.25/23,978
6. Step 6: Final answer
   x = 59,003.06