Finding the Third Proportional to 37,389 and 56,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,389 : 56,839.50 = 56,839.50 : x
2. Step 2: Convert to fraction form
   37,389/56,839.50 = 56,839.50/x
3. Step 3: Cross multiply
   37,389x = 56,839.50 × 56,839.50
4. Step 4: Simplify right side
   37,389x = 3,230,728,760.25
5. Step 5: Solve for x
   x = 3,230,728,760.25/37,389
6. Step 6: Final answer
   x = 86,408.54