Finding the Third Proportional to 3,174 and 5,068.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,174 : 5,068.50 = 5,068.50 : x
2. Step 2: Convert to fraction form
   3,174/5,068.50 = 5,068.50/x
3. Step 3: Cross multiply
   3,174x = 5,068.50 × 5,068.50
4. Step 4: Simplify right side
   3,174x = 25,689,692.25
5. Step 5: Solve for x
   x = 25,689,692.25/3,174
6. Step 6: Final answer
   x = 8,093.79