Finding the Third Proportional to 17,705.25 and 38,142.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,705.25 : 38,142.56 = 38,142.56 : x
2. Step 2: Convert to fraction form
   17,705.25/38,142.56 = 38,142.56/x
3. Step 3: Cross multiply
   17,705.25x = 38,142.56 × 38,142.56
4. Step 4: Simplify right side
   17,705.25x = 1,454,855,074.07
5. Step 5: Solve for x
   x = 1,454,855,074.07/17,705.25
6. Step 6: Final answer
   x = 82,170.83