Finding the Third Proportional to 37,624 and 55,252

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624 : 55,252 = 55,252 : x
2. Step 2: Convert to fraction form
   37,624/55,252 = 55,252/x
3. Step 3: Cross multiply
   37,624x = 55,252 × 55,252
4. Step 4: Simplify right side
   37,624x = 3,052,783,504
5. Step 5: Solve for x
   x = 3,052,783,504/37,624
6. Step 6: Final answer
   x = 81,139.26