Finding the Third Proportional to 17,509.50 and 36,517.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509.50 : 36,517.50 = 36,517.50 : x
2. Step 2: Convert to fraction form
   17,509.50/36,517.50 = 36,517.50/x
3. Step 3: Cross multiply
   17,509.50x = 36,517.50 × 36,517.50
4. Step 4: Simplify right side
   17,509.50x = 1,333,527,806.25
5. Step 5: Solve for x
   x = 1,333,527,806.25/17,509.50
6. Step 6: Final answer
   x = 76,160.24