Finding the Third Proportional to 10,269.75 and 14,837.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,269.75 : 14,837.63 = 14,837.63 : x
2. Step 2: Convert to fraction form
   10,269.75/14,837.63 = 14,837.63/x
3. Step 3: Cross multiply
   10,269.75x = 14,837.63 × 14,837.63
4. Step 4: Simplify right side
   10,269.75x = 220,155,115.64
5. Step 5: Solve for x
   x = 220,155,115.64/10,269.75
6. Step 6: Final answer
   x = 21,437.24