Finding the Third Proportional to 7,293.50 and 16,005.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,293.50 : 16,005.25 = 16,005.25 : x
2. Step 2: Convert to fraction form
   7,293.50/16,005.25 = 16,005.25/x
3. Step 3: Cross multiply
   7,293.50x = 16,005.25 × 16,005.25
4. Step 4: Simplify right side
   7,293.50x = 256,168,027.56
5. Step 5: Solve for x
   x = 256,168,027.56/7,293.50
6. Step 6: Final answer
   x = 35,122.78