Finding the Third Proportional to 37,826 and 56,643

Step by Step Solution

1. Step 1: Write the proportion equation
   37,826 : 56,643 = 56,643 : x
2. Step 2: Convert to fraction form
   37,826/56,643 = 56,643/x
3. Step 3: Cross multiply
   37,826x = 56,643 × 56,643
4. Step 4: Simplify right side
   37,826x = 3,208,429,449
5. Step 5: Solve for x
   x = 3,208,429,449/37,826
6. Step 6: Final answer
   x = 84,820.74