Finding the Third Proportional to 24,028 and 35,788

Step by Step Solution

1. Step 1: Write the proportion equation
   24,028 : 35,788 = 35,788 : x
2. Step 2: Convert to fraction form
   24,028/35,788 = 35,788/x
3. Step 3: Cross multiply
   24,028x = 35,788 × 35,788
4. Step 4: Simplify right side
   24,028x = 1,280,780,944
5. Step 5: Solve for x
   x = 1,280,780,944/24,028
6. Step 6: Final answer
   x = 53,303.69