Finding the Third Proportional to 9,789.75 and 14,641.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,789.75 : 14,641.88 = 14,641.88 : x
2. Step 2: Convert to fraction form
   9,789.75/14,641.88 = 14,641.88/x
3. Step 3: Cross multiply
   9,789.75x = 14,641.88 × 14,641.88
4. Step 4: Simplify right side
   9,789.75x = 214,384,503.52
5. Step 5: Solve for x
   x = 214,384,503.52/9,789.75
6. Step 6: Final answer
   x = 21,898.87