Finding the Third Proportional to 14,824 and 34,993.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,824 : 34,993.50 = 34,993.50 : x
2. Step 2: Convert to fraction form
   14,824/34,993.50 = 34,993.50/x
3. Step 3: Cross multiply
   14,824x = 34,993.50 × 34,993.50
4. Step 4: Simplify right side
   14,824x = 1,224,545,042.25
5. Step 5: Solve for x
   x = 1,224,545,042.25/14,824
6. Step 6: Final answer
   x = 82,605.57