Finding the Third Proportional to 37,974 and 56,653

Step by Step Solution

1. Step 1: Write the proportion equation
   37,974 : 56,653 = 56,653 : x
2. Step 2: Convert to fraction form
   37,974/56,653 = 56,653/x
3. Step 3: Cross multiply
   37,974x = 56,653 × 56,653
4. Step 4: Simplify right side
   37,974x = 3,209,562,409
5. Step 5: Solve for x
   x = 3,209,562,409/37,974
6. Step 6: Final answer
   x = 84,520.00