Finding the Third Proportional to 37,594.50 and 49,692

Step by Step Solution

1. Step 1: Write the proportion equation
   37,594.50 : 49,692 = 49,692 : x
2. Step 2: Convert to fraction form
   37,594.50/49,692 = 49,692/x
3. Step 3: Cross multiply
   37,594.50x = 49,692 × 49,692
4. Step 4: Simplify right side
   37,594.50x = 2,469,294,864
5. Step 5: Solve for x
   x = 2,469,294,864/37,594.50
6. Step 6: Final answer
   x = 65,682.34