Finding the Third Proportional to 27,501.75 and 41,782.50

Step by Step Solution

1. Step 1: Write the proportion equation
   27,501.75 : 41,782.50 = 41,782.50 : x
2. Step 2: Convert to fraction form
   27,501.75/41,782.50 = 41,782.50/x
3. Step 3: Cross multiply
   27,501.75x = 41,782.50 × 41,782.50
4. Step 4: Simplify right side
   27,501.75x = 1,745,777,306.25
5. Step 5: Solve for x
   x = 1,745,777,306.25/27,501.75
6. Step 6: Final answer
   x = 63,478.77