Finding the Third Proportional to 21,948 and 29,806.50

Step by Step Solution

1. Step 1: Write the proportion equation
   21,948 : 29,806.50 = 29,806.50 : x
2. Step 2: Convert to fraction form
   21,948/29,806.50 = 29,806.50/x
3. Step 3: Cross multiply
   21,948x = 29,806.50 × 29,806.50
4. Step 4: Simplify right side
   21,948x = 888,427,442.25
5. Step 5: Solve for x
   x = 888,427,442.25/21,948
6. Step 6: Final answer
   x = 40,478.74