Finding the Third Proportional to 14,944 and 23,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,944 : 23,138.50 = 23,138.50 : x
2. Step 2: Convert to fraction form
   14,944/23,138.50 = 23,138.50/x
3. Step 3: Cross multiply
   14,944x = 23,138.50 × 23,138.50
4. Step 4: Simplify right side
   14,944x = 535,390,182.25
5. Step 5: Solve for x
   x = 535,390,182.25/14,944
6. Step 6: Final answer
   x = 35,826.43