Finding the Third Proportional to 10,892.25 and 16,295.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,892.25 : 16,295.06 = 16,295.06 : x
2. Step 2: Convert to fraction form
   10,892.25/16,295.06 = 16,295.06/x
3. Step 3: Cross multiply
   10,892.25x = 16,295.06 × 16,295.06
4. Step 4: Simplify right side
   10,892.25x = 265,529,061.88
5. Step 5: Solve for x
   x = 265,529,061.88/10,892.25
6. Step 6: Final answer
   x = 24,377.80