Finding the Third Proportional to 17,770 and 23,706

Step by Step Solution

1. Step 1: Write the proportion equation
   17,770 : 23,706 = 23,706 : x
2. Step 2: Convert to fraction form
   17,770/23,706 = 23,706/x
3. Step 3: Cross multiply
   17,770x = 23,706 × 23,706
4. Step 4: Simplify right side
   17,770x = 561,974,436
5. Step 5: Solve for x
   x = 561,974,436/17,770
6. Step 6: Final answer
   x = 31,624.90