Finding the Third Proportional to 16,122 and 23,583

Step by Step Solution

1. Step 1: Write the proportion equation
   16,122 : 23,583 = 23,583 : x
2. Step 2: Convert to fraction form
   16,122/23,583 = 23,583/x
3. Step 3: Cross multiply
   16,122x = 23,583 × 23,583
4. Step 4: Simplify right side
   16,122x = 556,157,889
5. Step 5: Solve for x
   x = 556,157,889/16,122
6. Step 6: Final answer
   x = 34,496.83