Finding the Third Proportional to 20,824 and 29,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   20,824 : 29,678.50 = 29,678.50 : x
2. Step 2: Convert to fraction form
   20,824/29,678.50 = 29,678.50/x
3. Step 3: Cross multiply
   20,824x = 29,678.50 × 29,678.50
4. Step 4: Simplify right side
   20,824x = 880,813,362.25
5. Step 5: Solve for x
   x = 880,813,362.25/20,824
6. Step 6: Final answer
   x = 42,297.99