Finding the Third Proportional to 36,624 and 54,937.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,624 : 54,937.50 = 54,937.50 : x
2. Step 2: Convert to fraction form
   36,624/54,937.50 = 54,937.50/x
3. Step 3: Cross multiply
   36,624x = 54,937.50 × 54,937.50
4. Step 4: Simplify right side
   36,624x = 3,018,128,906.25
5. Step 5: Solve for x
   x = 3,018,128,906.25/36,624
6. Step 6: Final answer
   x = 82,408.50