Finding the Third Proportional to 16,160 and 23,706

Step by Step Solution

1. Step 1: Write the proportion equation
   16,160 : 23,706 = 23,706 : x
2. Step 2: Convert to fraction form
   16,160/23,706 = 23,706/x
3. Step 3: Cross multiply
   16,160x = 23,706 × 23,706
4. Step 4: Simplify right side
   16,160x = 561,974,436
5. Step 5: Solve for x
   x = 561,974,436/16,160
6. Step 6: Final answer
   x = 34,775.65