Finding the Third Proportional to 24,816 and 37,804

Step by Step Solution

1. Step 1: Write the proportion equation
   24,816 : 37,804 = 37,804 : x
2. Step 2: Convert to fraction form
   24,816/37,804 = 37,804/x
3. Step 3: Cross multiply
   24,816x = 37,804 × 37,804
4. Step 4: Simplify right side
   24,816x = 1,429,142,416
5. Step 5: Solve for x
   x = 1,429,142,416/24,816
6. Step 6: Final answer
   x = 57,589.56