Finding the Third Proportional to 2,174.34 and 4,630.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.34 : 4,630.50 = 4,630.50 : x
2. Step 2: Convert to fraction form
   2,174.34/4,630.50 = 4,630.50/x
3. Step 3: Cross multiply
   2,174.34x = 4,630.50 × 4,630.50
4. Step 4: Simplify right side
   2,174.34x = 21,441,530.25
5. Step 5: Solve for x
   x = 21,441,530.25/2,174.34
6. Step 6: Final answer
   x = 9,861.15