Finding the Third Proportional to 10,422 and 23,598

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 23,598 = 23,598 : x
2. Step 2: Convert to fraction form
   10,422/23,598 = 23,598/x
3. Step 3: Cross multiply
   10,422x = 23,598 × 23,598
4. Step 4: Simplify right side
   10,422x = 556,865,604
5. Step 5: Solve for x
   x = 556,865,604/10,422
6. Step 6: Final answer
   x = 53,431.74