Finding the Third Proportional to 37,789 and 57,109

Step by Step Solution

1. Step 1: Write the proportion equation
   37,789 : 57,109 = 57,109 : x
2. Step 2: Convert to fraction form
   37,789/57,109 = 57,109/x
3. Step 3: Cross multiply
   37,789x = 57,109 × 57,109
4. Step 4: Simplify right side
   37,789x = 3,261,437,881
5. Step 5: Solve for x
   x = 3,261,437,881/37,789
6. Step 6: Final answer
   x = 86,306.54