Finding the Third Proportional to 37,036.50 and 51,846.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,036.50 : 51,846.50 = 51,846.50 : x
2. Step 2: Convert to fraction form
   37,036.50/51,846.50 = 51,846.50/x
3. Step 3: Cross multiply
   37,036.50x = 51,846.50 × 51,846.50
4. Step 4: Simplify right side
   37,036.50x = 2,688,059,562.25
5. Step 5: Solve for x
   x = 2,688,059,562.25/37,036.50
6. Step 6: Final answer
   x = 72,578.66