Finding the Third Proportional to 16,839 and 25,492.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,839 : 25,492.50 = 25,492.50 : x
2. Step 2: Convert to fraction form
   16,839/25,492.50 = 25,492.50/x
3. Step 3: Cross multiply
   16,839x = 25,492.50 × 25,492.50
4. Step 4: Simplify right side
   16,839x = 649,867,556.25
5. Step 5: Solve for x
   x = 649,867,556.25/16,839
6. Step 6: Final answer
   x = 38,593.00