Finding the Third Proportional to 37,051 and 87,408.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,051 : 87,408.50 = 87,408.50 : x
2. Step 2: Convert to fraction form
   37,051/87,408.50 = 87,408.50/x
3. Step 3: Cross multiply
   37,051x = 87,408.50 × 87,408.50
4. Step 4: Simplify right side
   37,051x = 7,640,245,872.25
5. Step 5: Solve for x
   x = 7,640,245,872.25/37,051
6. Step 6: Final answer
   x = 206,208.90