Finding the Third Proportional to 37,335 and 57,796

Step by Step Solution

1. Step 1: Write the proportion equation
   37,335 : 57,796 = 57,796 : x
2. Step 2: Convert to fraction form
   37,335/57,796 = 57,796/x
3. Step 3: Cross multiply
   37,335x = 57,796 × 57,796
4. Step 4: Simplify right side
   37,335x = 3,340,377,616
5. Step 5: Solve for x
   x = 3,340,377,616/37,335
6. Step 6: Final answer
   x = 89,470.41