Finding the Third Proportional to 17,856.50 and 38,827

Step by Step Solution

1. Step 1: Write the proportion equation
   17,856.50 : 38,827 = 38,827 : x
2. Step 2: Convert to fraction form
   17,856.50/38,827 = 38,827/x
3. Step 3: Cross multiply
   17,856.50x = 38,827 × 38,827
4. Step 4: Simplify right side
   17,856.50x = 1,507,535,929
5. Step 5: Solve for x
   x = 1,507,535,929/17,856.50
6. Step 6: Final answer
   x = 84,425.05