Finding the Third Proportional to 10,071.50 and 21,817

Step by Step Solution

1. Step 1: Write the proportion equation
   10,071.50 : 21,817 = 21,817 : x
2. Step 2: Convert to fraction form
   10,071.50/21,817 = 21,817/x
3. Step 3: Cross multiply
   10,071.50x = 21,817 × 21,817
4. Step 4: Simplify right side
   10,071.50x = 475,981,489
5. Step 5: Solve for x
   x = 475,981,489/10,071.50
6. Step 6: Final answer
   x = 47,260.24