Finding the Third Proportional to 4,606 and 12,385

Step by Step Solution

1. Step 1: Write the proportion equation
   4,606 : 12,385 = 12,385 : x
2. Step 2: Convert to fraction form
   4,606/12,385 = 12,385/x
3. Step 3: Cross multiply
   4,606x = 12,385 × 12,385
4. Step 4: Simplify right side
   4,606x = 153,388,225
5. Step 5: Solve for x
   x = 153,388,225/4,606
6. Step 6: Final answer
   x = 33,301.83