Finding the Third Proportional to 23,816 and 37,673

Step by Step Solution

1. Step 1: Write the proportion equation
   23,816 : 37,673 = 37,673 : x
2. Step 2: Convert to fraction form
   23,816/37,673 = 37,673/x
3. Step 3: Cross multiply
   23,816x = 37,673 × 37,673
4. Step 4: Simplify right side
   23,816x = 1,419,254,929
5. Step 5: Solve for x
   x = 1,419,254,929/23,816
6. Step 6: Final answer
   x = 59,592.50