Finding the Third Proportional to 10,705.50 and 23,706

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.50 : 23,706 = 23,706 : x
2. Step 2: Convert to fraction form
   10,705.50/23,706 = 23,706/x
3. Step 3: Cross multiply
   10,705.50x = 23,706 × 23,706
4. Step 4: Simplify right side
   10,705.50x = 561,974,436
5. Step 5: Solve for x
   x = 561,974,436/10,705.50
6. Step 6: Final answer
   x = 52,493.99