Finding the Third Proportional to 37,388 and 55,758

Step by Step Solution

1. Step 1: Write the proportion equation
   37,388 : 55,758 = 55,758 : x
2. Step 2: Convert to fraction form
   37,388/55,758 = 55,758/x
3. Step 3: Cross multiply
   37,388x = 55,758 × 55,758
4. Step 4: Simplify right side
   37,388x = 3,108,954,564
5. Step 5: Solve for x
   x = 3,108,954,564/37,388
6. Step 6: Final answer
   x = 83,153.81