Finding the Third Proportional to 16,824 and 38,158.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,824 : 38,158.50 = 38,158.50 : x
2. Step 2: Convert to fraction form
   16,824/38,158.50 = 38,158.50/x
3. Step 3: Cross multiply
   16,824x = 38,158.50 × 38,158.50
4. Step 4: Simplify right side
   16,824x = 1,456,071,122.25
5. Step 5: Solve for x
   x = 1,456,071,122.25/16,824
6. Step 6: Final answer
   x = 86,547.26