Finding the Third Proportional to 10,502.63 and 16,261.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,502.63 : 16,261.88 = 16,261.88 : x
2. Step 2: Convert to fraction form
   10,502.63/16,261.88 = 16,261.88/x
3. Step 3: Cross multiply
   10,502.63x = 16,261.88 × 16,261.88
4. Step 4: Simplify right side
   10,502.63x = 264,448,578.52
5. Step 5: Solve for x
   x = 264,448,578.52/10,502.63
6. Step 6: Final answer
   x = 25,179.28