Finding the Third Proportional to 37,519.50 and 52,768.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,519.50 : 52,768.50 = 52,768.50 : x
2. Step 2: Convert to fraction form
   37,519.50/52,768.50 = 52,768.50/x
3. Step 3: Cross multiply
   37,519.50x = 52,768.50 × 52,768.50
4. Step 4: Simplify right side
   37,519.50x = 2,784,514,592.25
5. Step 5: Solve for x
   x = 2,784,514,592.25/37,519.50
6. Step 6: Final answer
   x = 74,215.13