Finding the Third Proportional to 17,826.75 and 38,417.63

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826.75 : 38,417.63 = 38,417.63 : x
2. Step 2: Convert to fraction form
   17,826.75/38,417.63 = 38,417.63/x
3. Step 3: Cross multiply
   17,826.75x = 38,417.63 × 38,417.63
4. Step 4: Simplify right side
   17,826.75x = 1,475,913,910.64
5. Step 5: Solve for x
   x = 1,475,913,910.64/17,826.75
6. Step 6: Final answer
   x = 82,792.09