Finding the Third Proportional to 37,769 and 55,554

Step by Step Solution

1. Step 1: Write the proportion equation
   37,769 : 55,554 = 55,554 : x
2. Step 2: Convert to fraction form
   37,769/55,554 = 55,554/x
3. Step 3: Cross multiply
   37,769x = 55,554 × 55,554
4. Step 4: Simplify right side
   37,769x = 3,086,246,916
5. Step 5: Solve for x
   x = 3,086,246,916/37,769
6. Step 6: Final answer
   x = 81,713.76