Finding the Third Proportional to 7,534.50 and 16,390.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,534.50 : 16,390.50 = 16,390.50 : x
2. Step 2: Convert to fraction form
   7,534.50/16,390.50 = 16,390.50/x
3. Step 3: Cross multiply
   7,534.50x = 16,390.50 × 16,390.50
4. Step 4: Simplify right side
   7,534.50x = 268,648,490.25
5. Step 5: Solve for x
   x = 268,648,490.25/7,534.50
6. Step 6: Final answer
   x = 35,655.78