Finding the Third Proportional to 19,147.50 and 27,978.75

Step by Step Solution

1. Step 1: Write the proportion equation
   19,147.50 : 27,978.75 = 27,978.75 : x
2. Step 2: Convert to fraction form
   19,147.50/27,978.75 = 27,978.75/x
3. Step 3: Cross multiply
   19,147.50x = 27,978.75 × 27,978.75
4. Step 4: Simplify right side
   19,147.50x = 782,810,451.56
5. Step 5: Solve for x
   x = 782,810,451.56/19,147.50
6. Step 6: Final answer
   x = 40,883.17