Finding the Third Proportional to 8,322.50 and 17,869

Step by Step Solution

1. Step 1: Write the proportion equation
   8,322.50 : 17,869 = 17,869 : x
2. Step 2: Convert to fraction form
   8,322.50/17,869 = 17,869/x
3. Step 3: Cross multiply
   8,322.50x = 17,869 × 17,869
4. Step 4: Simplify right side
   8,322.50x = 319,301,161
5. Step 5: Solve for x
   x = 319,301,161/8,322.50
6. Step 6: Final answer
   x = 38,366.02