Finding the Third Proportional to 10,075.50 and 14,825.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075.50 : 14,825.25 = 14,825.25 : x
2. Step 2: Convert to fraction form
   10,075.50/14,825.25 = 14,825.25/x
3. Step 3: Cross multiply
   10,075.50x = 14,825.25 × 14,825.25
4. Step 4: Simplify right side
   10,075.50x = 219,788,037.56
5. Step 5: Solve for x
   x = 219,788,037.56/10,075.50
6. Step 6: Final answer
   x = 21,814.11