Finding the Third Proportional to 7,816.50 and 17,322.19

Step by Step Solution

1. Step 1: Write the proportion equation
   7,816.50 : 17,322.19 = 17,322.19 : x
2. Step 2: Convert to fraction form
   7,816.50/17,322.19 = 17,322.19/x
3. Step 3: Cross multiply
   7,816.50x = 17,322.19 × 17,322.19
4. Step 4: Simplify right side
   7,816.50x = 300,058,179.79
5. Step 5: Solve for x
   x = 300,058,179.79/7,816.50
6. Step 6: Final answer
   x = 38,387.79