Finding the Third Proportional to 37,643 and 56,469

Step by Step Solution

1. Step 1: Write the proportion equation
   37,643 : 56,469 = 56,469 : x
2. Step 2: Convert to fraction form
   37,643/56,469 = 56,469/x
3. Step 3: Cross multiply
   37,643x = 56,469 × 56,469
4. Step 4: Simplify right side
   37,643x = 3,188,747,961
5. Step 5: Solve for x
   x = 3,188,747,961/37,643
6. Step 6: Final answer
   x = 84,710.25