Finding the Third Proportional to 37,370 and 56,747

Step by Step Solution

1. Step 1: Write the proportion equation
   37,370 : 56,747 = 56,747 : x
2. Step 2: Convert to fraction form
   37,370/56,747 = 56,747/x
3. Step 3: Cross multiply
   37,370x = 56,747 × 56,747
4. Step 4: Simplify right side
   37,370x = 3,220,222,009
5. Step 5: Solve for x
   x = 3,220,222,009/37,370
6. Step 6: Final answer
   x = 86,171.31