Finding the Third Proportional to 27,986.50 and 76,041.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,986.50 : 76,041.50 = 76,041.50 : x
2. Step 2: Convert to fraction form
   27,986.50/76,041.50 = 76,041.50/x
3. Step 3: Cross multiply
   27,986.50x = 76,041.50 × 76,041.50
4. Step 4: Simplify right side
   27,986.50x = 5,782,309,722.25
5. Step 5: Solve for x
   x = 5,782,309,722.25/27,986.50
6. Step 6: Final answer
   x = 206,610.68