Finding the Third Proportional to 37,530 and 52,778

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530 : 52,778 = 52,778 : x
2. Step 2: Convert to fraction form
   37,530/52,778 = 52,778/x
3. Step 3: Cross multiply
   37,530x = 52,778 × 52,778
4. Step 4: Simplify right side
   37,530x = 2,785,517,284
5. Step 5: Solve for x
   x = 2,785,517,284/37,530
6. Step 6: Final answer
   x = 74,221.08