Finding the Third Proportional to 37,525.50 and 52,778.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,525.50 : 52,778.25 = 52,778.25 : x
2. Step 2: Convert to fraction form
   37,525.50/52,778.25 = 52,778.25/x
3. Step 3: Cross multiply
   37,525.50x = 52,778.25 × 52,778.25
4. Step 4: Simplify right side
   37,525.50x = 2,785,543,673.06
5. Step 5: Solve for x
   x = 2,785,543,673.06/37,525.50
6. Step 6: Final answer
   x = 74,230.69