Finding the Third Proportional to 9,375.75 and 13,624.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,375.75 : 13,624.88 = 13,624.88 : x
2. Step 2: Convert to fraction form
   9,375.75/13,624.88 = 13,624.88/x
3. Step 3: Cross multiply
   9,375.75x = 13,624.88 × 13,624.88
4. Step 4: Simplify right side
   9,375.75x = 185,637,218.77
5. Step 5: Solve for x
   x = 185,637,218.77/9,375.75
6. Step 6: Final answer
   x = 19,799.72