Finding the Third Proportional to 10,452 and 14,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,452 : 14,746.50 = 14,746.50 : x
2. Step 2: Convert to fraction form
   10,452/14,746.50 = 14,746.50/x
3. Step 3: Cross multiply
   10,452x = 14,746.50 × 14,746.50
4. Step 4: Simplify right side
   10,452x = 217,459,262.25
5. Step 5: Solve for x
   x = 217,459,262.25/10,452
6. Step 6: Final answer
   x = 20,805.52