Finding the Third Proportional to 10,705.50 and 20,034

Step by Step Solution

1. Step 1: Write the proportion equation
   10,705.50 : 20,034 = 20,034 : x
2. Step 2: Convert to fraction form
   10,705.50/20,034 = 20,034/x
3. Step 3: Cross multiply
   10,705.50x = 20,034 × 20,034
4. Step 4: Simplify right side
   10,705.50x = 401,361,156
5. Step 5: Solve for x
   x = 401,361,156/10,705.50
6. Step 6: Final answer
   x = 37,491.12