Finding the Third Proportional to 27,784.88 and 36,687.75

Step by Step Solution

1. Step 1: Write the proportion equation
   27,784.88 : 36,687.75 = 36,687.75 : x
2. Step 2: Convert to fraction form
   27,784.88/36,687.75 = 36,687.75/x
3. Step 3: Cross multiply
   27,784.88x = 36,687.75 × 36,687.75
4. Step 4: Simplify right side
   27,784.88x = 1,345,991,000.06
5. Step 5: Solve for x
   x = 1,345,991,000.06/27,784.88
6. Step 6: Final answer
   x = 48,443.30