Finding the Third Proportional to 9,697.50 and 14,828.06

Step by Step Solution

1. Step 1: Write the proportion equation
   9,697.50 : 14,828.06 = 14,828.06 : x
2. Step 2: Convert to fraction form
   9,697.50/14,828.06 = 14,828.06/x
3. Step 3: Cross multiply
   9,697.50x = 14,828.06 × 14,828.06
4. Step 4: Simplify right side
   9,697.50x = 219,871,437.50
5. Step 5: Solve for x
   x = 219,871,437.50/9,697.50
6. Step 6: Final answer
   x = 22,673.00