Finding the Third Proportional to 7,894.50 and 17,242.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,894.50 : 17,242.50 = 17,242.50 : x
2. Step 2: Convert to fraction form
   7,894.50/17,242.50 = 17,242.50/x
3. Step 3: Cross multiply
   7,894.50x = 17,242.50 × 17,242.50
4. Step 4: Simplify right side
   7,894.50x = 297,303,806.25
5. Step 5: Solve for x
   x = 297,303,806.25/7,894.50
6. Step 6: Final answer
   x = 37,659.61