Finding the Third Proportional to 37,380 and 62,298

Step by Step Solution

1. Step 1: Write the proportion equation
   37,380 : 62,298 = 62,298 : x
2. Step 2: Convert to fraction form
   37,380/62,298 = 62,298/x
3. Step 3: Cross multiply
   37,380x = 62,298 × 62,298
4. Step 4: Simplify right side
   37,380x = 3,881,040,804
5. Step 5: Solve for x
   x = 3,881,040,804/37,380
6. Step 6: Final answer
   x = 103,826.67