Finding the Third Proportional to 7,534.50 and 16,409.25

Step by Step Solution

1. Step 1: Write the proportion equation
   7,534.50 : 16,409.25 = 16,409.25 : x
2. Step 2: Convert to fraction form
   7,534.50/16,409.25 = 16,409.25/x
3. Step 3: Cross multiply
   7,534.50x = 16,409.25 × 16,409.25
4. Step 4: Simplify right side
   7,534.50x = 269,263,485.56
5. Step 5: Solve for x
   x = 269,263,485.56/7,534.50
6. Step 6: Final answer
   x = 35,737.41