Finding the Third Proportional to 17,635.50 and 27,319.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,635.50 : 27,319.50 = 27,319.50 : x
2. Step 2: Convert to fraction form
   17,635.50/27,319.50 = 27,319.50/x
3. Step 3: Cross multiply
   17,635.50x = 27,319.50 × 27,319.50
4. Step 4: Simplify right side
   17,635.50x = 746,355,080.25
5. Step 5: Solve for x
   x = 746,355,080.25/17,635.50
6. Step 6: Final answer
   x = 42,321.17