Finding the Third Proportional to 37,616 and 80,904

Step by Step Solution

1. Step 1: Write the proportion equation
   37,616 : 80,904 = 80,904 : x
2. Step 2: Convert to fraction form
   37,616/80,904 = 80,904/x
3. Step 3: Cross multiply
   37,616x = 80,904 × 80,904
4. Step 4: Simplify right side
   37,616x = 6,545,457,216
5. Step 5: Solve for x
   x = 6,545,457,216/37,616
6. Step 6: Final answer
   x = 174,007.26