Finding the Third Proportional to 5,944 and 13,763.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,944 : 13,763.50 = 13,763.50 : x
2. Step 2: Convert to fraction form
   5,944/13,763.50 = 13,763.50/x
3. Step 3: Cross multiply
   5,944x = 13,763.50 × 13,763.50
4. Step 4: Simplify right side
   5,944x = 189,433,932.25
5. Step 5: Solve for x
   x = 189,433,932.25/5,944
6. Step 6: Final answer
   x = 31,869.77