Finding the Third Proportional to 24,057 and 37,788

Step by Step Solution

1. Step 1: Write the proportion equation
   24,057 : 37,788 = 37,788 : x
2. Step 2: Convert to fraction form
   24,057/37,788 = 37,788/x
3. Step 3: Cross multiply
   24,057x = 37,788 × 37,788
4. Step 4: Simplify right side
   24,057x = 1,427,932,944
5. Step 5: Solve for x
   x = 1,427,932,944/24,057
6. Step 6: Final answer
   x = 59,356.23