Finding the Third Proportional to 4,682.50 and 10,185

Step by Step Solution

1. Step 1: Write the proportion equation
   4,682.50 : 10,185 = 10,185 : x
2. Step 2: Convert to fraction form
   4,682.50/10,185 = 10,185/x
3. Step 3: Cross multiply
   4,682.50x = 10,185 × 10,185
4. Step 4: Simplify right side
   4,682.50x = 103,734,225
5. Step 5: Solve for x
   x = 103,734,225/4,682.50
6. Step 6: Final answer
   x = 22,153.60