Finding the Third Proportional to 9,699.75 and 14,746.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,699.75 : 14,746.50 = 14,746.50 : x
2. Step 2: Convert to fraction form
   9,699.75/14,746.50 = 14,746.50/x
3. Step 3: Cross multiply
   9,699.75x = 14,746.50 × 14,746.50
4. Step 4: Simplify right side
   9,699.75x = 217,459,262.25
5. Step 5: Solve for x
   x = 217,459,262.25/9,699.75
6. Step 6: Final answer
   x = 22,419.06