Finding the Third Proportional to 17,658 and 38,805.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 38,805.75 = 38,805.75 : x
2. Step 2: Convert to fraction form
   17,658/38,805.75 = 38,805.75/x
3. Step 3: Cross multiply
   17,658x = 38,805.75 × 38,805.75
4. Step 4: Simplify right side
   17,658x = 1,505,886,233.06
5. Step 5: Solve for x
   x = 1,505,886,233.06/17,658
6. Step 6: Final answer
   x = 85,280.68