Finding the Third Proportional to 37,138.50 and 75,568.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,138.50 : 75,568.50 = 75,568.50 : x
2. Step 2: Convert to fraction form
   37,138.50/75,568.50 = 75,568.50/x
3. Step 3: Cross multiply
   37,138.50x = 75,568.50 × 75,568.50
4. Step 4: Simplify right side
   37,138.50x = 5,710,598,192.25
5. Step 5: Solve for x
   x = 5,710,598,192.25/37,138.50
6. Step 6: Final answer
   x = 153,764.91