Finding the Third Proportional to 7,274.25 and 16,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,274.25 : 16,006.50 = 16,006.50 : x
2. Step 2: Convert to fraction form
   7,274.25/16,006.50 = 16,006.50/x
3. Step 3: Cross multiply
   7,274.25x = 16,006.50 × 16,006.50
4. Step 4: Simplify right side
   7,274.25x = 256,208,042.25
5. Step 5: Solve for x
   x = 256,208,042.25/7,274.25
6. Step 6: Final answer
   x = 35,221.23