Finding the Third Proportional to 4,696 and 12,334

Step by Step Solution

1. Step 1: Write the proportion equation
   4,696 : 12,334 = 12,334 : x
2. Step 2: Convert to fraction form
   4,696/12,334 = 12,334/x
3. Step 3: Cross multiply
   4,696x = 12,334 × 12,334
4. Step 4: Simplify right side
   4,696x = 152,127,556
5. Step 5: Solve for x
   x = 152,127,556/4,696
6. Step 6: Final answer
   x = 32,395.14