Finding the Third Proportional to 37,408 and 62,342

Step by Step Solution

1. Step 1: Write the proportion equation
   37,408 : 62,342 = 62,342 : x
2. Step 2: Convert to fraction form
   37,408/62,342 = 62,342/x
3. Step 3: Cross multiply
   37,408x = 62,342 × 62,342
4. Step 4: Simplify right side
   37,408x = 3,886,524,964
5. Step 5: Solve for x
   x = 3,886,524,964/37,408
6. Step 6: Final answer
   x = 103,895.56