Finding the Third Proportional to 10,185.75 and 23,209.03

Step by Step Solution

1. Step 1: Write the proportion equation
   10,185.75 : 23,209.03 = 23,209.03 : x
2. Step 2: Convert to fraction form
   10,185.75/23,209.03 = 23,209.03/x
3. Step 3: Cross multiply
   10,185.75x = 23,209.03 × 23,209.03
4. Step 4: Simplify right side
   10,185.75x = 538,659,131.56
5. Step 5: Solve for x
   x = 538,659,131.56/10,185.75
6. Step 6: Final answer
   x = 52,883.60