Finding the Third Proportional to 37,218 and 52,171

Step by Step Solution

1. Step 1: Write the proportion equation
   37,218 : 52,171 = 52,171 : x
2. Step 2: Convert to fraction form
   37,218/52,171 = 52,171/x
3. Step 3: Cross multiply
   37,218x = 52,171 × 52,171
4. Step 4: Simplify right side
   37,218x = 2,721,813,241
5. Step 5: Solve for x
   x = 2,721,813,241/37,218
6. Step 6: Final answer
   x = 73,131.64