Finding the Third Proportional to 17,670 and 38,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,670 : 38,456.25 = 38,456.25 : x
2. Step 2: Convert to fraction form
   17,670/38,456.25 = 38,456.25/x
3. Step 3: Cross multiply
   17,670x = 38,456.25 × 38,456.25
4. Step 4: Simplify right side
   17,670x = 1,478,883,164.06
5. Step 5: Solve for x
   x = 1,478,883,164.06/17,670
6. Step 6: Final answer
   x = 83,694.58