Finding the Third Proportional to 17,509.50 and 40,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,509.50 : 40,492.50 = 40,492.50 : x
2. Step 2: Convert to fraction form
   17,509.50/40,492.50 = 40,492.50/x
3. Step 3: Cross multiply
   17,509.50x = 40,492.50 × 40,492.50
4. Step 4: Simplify right side
   17,509.50x = 1,639,642,556.25
5. Step 5: Solve for x
   x = 1,639,642,556.25/17,509.50
6. Step 6: Final answer
   x = 93,643.03