Finding the Third Proportional to 10,684.50 and 23,385

Step by Step Solution

1. Step 1: Write the proportion equation
   10,684.50 : 23,385 = 23,385 : x
2. Step 2: Convert to fraction form
   10,684.50/23,385 = 23,385/x
3. Step 3: Cross multiply
   10,684.50x = 23,385 × 23,385
4. Step 4: Simplify right side
   10,684.50x = 546,858,225
5. Step 5: Solve for x
   x = 546,858,225/10,684.50
6. Step 6: Final answer
   x = 51,182.39