Finding the Third Proportional to 37,378 and 62,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,378 : 62,293.50 = 62,293.50 : x
2. Step 2: Convert to fraction form
   37,378/62,293.50 = 62,293.50/x
3. Step 3: Cross multiply
   37,378x = 62,293.50 × 62,293.50
4. Step 4: Simplify right side
   37,378x = 3,880,480,142.25
5. Step 5: Solve for x
   x = 3,880,480,142.25/37,378
6. Step 6: Final answer
   x = 103,817.22