Finding the Third Proportional to 37,414 and 62,350

Step by Step Solution

1. Step 1: Write the proportion equation
   37,414 : 62,350 = 62,350 : x
2. Step 2: Convert to fraction form
   37,414/62,350 = 62,350/x
3. Step 3: Cross multiply
   37,414x = 62,350 × 62,350
4. Step 4: Simplify right side
   37,414x = 3,887,522,500
5. Step 5: Solve for x
   x = 3,887,522,500/37,414
6. Step 6: Final answer
   x = 103,905.56