Finding the Third Proportional to 11,478 and 14,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,478 : 14,746.50 = 14,746.50 : x
2. Step 2: Convert to fraction form
   11,478/14,746.50 = 14,746.50/x
3. Step 3: Cross multiply
   11,478x = 14,746.50 × 14,746.50
4. Step 4: Simplify right side
   11,478x = 217,459,262.25
5. Step 5: Solve for x
   x = 217,459,262.25/11,478
6. Step 6: Final answer
   x = 18,945.75