Finding the Third Proportional to 10,971.50 and 23,806

Step by Step Solution

1. Step 1: Write the proportion equation
   10,971.50 : 23,806 = 23,806 : x
2. Step 2: Convert to fraction form
   10,971.50/23,806 = 23,806/x
3. Step 3: Cross multiply
   10,971.50x = 23,806 × 23,806
4. Step 4: Simplify right side
   10,971.50x = 566,725,636
5. Step 5: Solve for x
   x = 566,725,636/10,971.50
6. Step 6: Final answer
   x = 51,654.34