Finding the Third Proportional to 11,749.50 and 20,085.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749.50 : 20,085.75 = 20,085.75 : x
2. Step 2: Convert to fraction form
   11,749.50/20,085.75 = 20,085.75/x
3. Step 3: Cross multiply
   11,749.50x = 20,085.75 × 20,085.75
4. Step 4: Simplify right side
   11,749.50x = 403,437,353.06
5. Step 5: Solve for x
   x = 403,437,353.06/11,749.50
6. Step 6: Final answer
   x = 34,336.56