Finding the Third Proportional to 17,624.25 and 38,799

Step by Step Solution

1. Step 1: Write the proportion equation
   17,624.25 : 38,799 = 38,799 : x
2. Step 2: Convert to fraction form
   17,624.25/38,799 = 38,799/x
3. Step 3: Cross multiply
   17,624.25x = 38,799 × 38,799
4. Step 4: Simplify right side
   17,624.25x = 1,505,362,401
5. Step 5: Solve for x
   x = 1,505,362,401/17,624.25
6. Step 6: Final answer
   x = 85,414.27