Finding the Third Proportional to 10,252.88 and 16,062.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,252.88 : 16,062.56 = 16,062.56 : x
2. Step 2: Convert to fraction form
   10,252.88/16,062.56 = 16,062.56/x
3. Step 3: Cross multiply
   10,252.88x = 16,062.56 × 16,062.56
4. Step 4: Simplify right side
   10,252.88x = 258,005,914.07
5. Step 5: Solve for x
   x = 258,005,914.07/10,252.88
6. Step 6: Final answer
   x = 25,164.25