Finding the Third Proportional to 10,678.50 and 16,274.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678.50 : 16,274.25 = 16,274.25 : x
2. Step 2: Convert to fraction form
   10,678.50/16,274.25 = 16,274.25/x
3. Step 3: Cross multiply
   10,678.50x = 16,274.25 × 16,274.25
4. Step 4: Simplify right side
   10,678.50x = 264,851,213.06
5. Step 5: Solve for x
   x = 264,851,213.06/10,678.50
6. Step 6: Final answer
   x = 24,802.29