Finding the Third Proportional to 10,185.75 and 17,923.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 17,923.50 = 17,923.50 : x
2. Step 2: Convert to fraction form
   10,185.75/17,923.50 = 17,923.50/x
3. Step 3: Cross multiply
   10,185.75x = 17,923.50 × 17,923.50
4. Step 4: Simplify right side
   10,185.75x = 321,251,852.25
5. Step 5: Solve for x
   x = 321,251,852.25/10,185.75
6. Step 6: Final answer
   x = 31,539.34