Finding the Third Proportional to 10,602.56 and 16,785.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,602.56 : 16,785.56 = 16,785.56 : x
2. Step 2: Convert to fraction form
   10,602.56/16,785.56 = 16,785.56/x
3. Step 3: Cross multiply
   10,602.56x = 16,785.56 × 16,785.56
4. Step 4: Simplify right side
   10,602.56x = 281,755,108.44
5. Step 5: Solve for x
   x = 281,755,108.44/10,602.56
6. Step 6: Final answer
   x = 26,574.25