Finding the Third Proportional to 5,822 and 12,301

Step by Step Solution

1. Step 1: Write the proportion equation
   5,822 : 12,301 = 12,301 : x
2. Step 2: Convert to fraction form
   5,822/12,301 = 12,301/x
3. Step 3: Cross multiply
   5,822x = 12,301 × 12,301
4. Step 4: Simplify right side
   5,822x = 151,314,601
5. Step 5: Solve for x
   x = 151,314,601/5,822
6. Step 6: Final answer
   x = 25,990.14