Finding the Third Proportional to 37,179 and 52,002

Step by Step Solution

1. Step 1: Write the proportion equation
   37,179 : 52,002 = 52,002 : x
2. Step 2: Convert to fraction form
   37,179/52,002 = 52,002/x
3. Step 3: Cross multiply
   37,179x = 52,002 × 52,002
4. Step 4: Simplify right side
   37,179x = 2,704,208,004
5. Step 5: Solve for x
   x = 2,704,208,004/37,179
6. Step 6: Final answer
   x = 72,734.82