Finding the Third Proportional to 10,598 and 16,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,598 : 16,778.50 = 16,778.50 : x
2. Step 2: Convert to fraction form
   10,598/16,778.50 = 16,778.50/x
3. Step 3: Cross multiply
   10,598x = 16,778.50 × 16,778.50
4. Step 4: Simplify right side
   10,598x = 281,518,062.25
5. Step 5: Solve for x
   x = 281,518,062.25/10,598
6. Step 6: Final answer
   x = 26,563.32