Finding the Third Proportional to 10,492.45 and 16,114.78

Step by Step Solution

1. Step 1: Write the proportion equation
   10,492.45 : 16,114.78 = 16,114.78 : x
2. Step 2: Convert to fraction form
   10,492.45/16,114.78 = 16,114.78/x
3. Step 3: Cross multiply
   10,492.45x = 16,114.78 × 16,114.78
4. Step 4: Simplify right side
   10,492.45x = 259,686,174.74
5. Step 5: Solve for x
   x = 259,686,174.74/10,492.45
6. Step 6: Final answer
   x = 24,749.81