Finding the Third Proportional to 14,944.50 and 23,784.75

Step by Step Solution

1. Step 1: Write the proportion equation
   14,944.50 : 23,784.75 = 23,784.75 : x
2. Step 2: Convert to fraction form
   14,944.50/23,784.75 = 23,784.75/x
3. Step 3: Cross multiply
   14,944.50x = 23,784.75 × 23,784.75
4. Step 4: Simplify right side
   14,944.50x = 565,714,332.56
5. Step 5: Solve for x
   x = 565,714,332.56/14,944.50
6. Step 6: Final answer
   x = 37,854.35