Finding the Third Proportional to 9,895.50 and 14,468.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,895.50 : 14,468.63 = 14,468.63 : x
2. Step 2: Convert to fraction form
   9,895.50/14,468.63 = 14,468.63/x
3. Step 3: Cross multiply
   9,895.50x = 14,468.63 × 14,468.63
4. Step 4: Simplify right side
   9,895.50x = 209,341,109.39
5. Step 5: Solve for x
   x = 209,341,109.39/9,895.50
6. Step 6: Final answer
   x = 21,155.18