Finding the Third Proportional to 37,344 and 56,796

Step by Step Solution

1. Step 1: Write the proportion equation
   37,344 : 56,796 = 56,796 : x
2. Step 2: Convert to fraction form
   37,344/56,796 = 56,796/x
3. Step 3: Cross multiply
   37,344x = 56,796 × 56,796
4. Step 4: Simplify right side
   37,344x = 3,225,785,616
5. Step 5: Solve for x
   x = 3,225,785,616/37,344
6. Step 6: Final answer
   x = 86,380.29