Finding the Third Proportional to 14,688 and 16,834.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,688 : 16,834.50 = 16,834.50 : x
2. Step 2: Convert to fraction form
   14,688/16,834.50 = 16,834.50/x
3. Step 3: Cross multiply
   14,688x = 16,834.50 × 16,834.50
4. Step 4: Simplify right side
   14,688x = 283,400,390.25
5. Step 5: Solve for x
   x = 283,400,390.25/14,688
6. Step 6: Final answer
   x = 19,294.69