Finding the Third Proportional to 2,234 and 2,997.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,234 : 2,997.50 = 2,997.50 : x
2. Step 2: Convert to fraction form
   2,234/2,997.50 = 2,997.50/x
3. Step 3: Cross multiply
   2,234x = 2,997.50 × 2,997.50
4. Step 4: Simplify right side
   2,234x = 8,985,006.25
5. Step 5: Solve for x
   x = 8,985,006.25/2,234
6. Step 6: Final answer
   x = 4,021.94