Finding the Third Proportional to 37,825.50 and 55,643

Step by Step Solution

1. Step 1: Write the proportion equation
   37,825.50 : 55,643 = 55,643 : x
2. Step 2: Convert to fraction form
   37,825.50/55,643 = 55,643/x
3. Step 3: Cross multiply
   37,825.50x = 55,643 × 55,643
4. Step 4: Simplify right side
   37,825.50x = 3,096,143,449
5. Step 5: Solve for x
   x = 3,096,143,449/37,825.50
6. Step 6: Final answer
   x = 81,853.34