Finding the Third Proportional to 10,071.50 and 20,970

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.50 : 20,970 = 20,970 : x
2. Step 2: Convert to fraction form
   10,071.50/20,970 = 20,970/x
3. Step 3: Cross multiply
   10,071.50x = 20,970 × 20,970
4. Step 4: Simplify right side
   10,071.50x = 439,740,900
5. Step 5: Solve for x
   x = 439,740,900/10,071.50
6. Step 6: Final answer
   x = 43,661.91