Finding the Third Proportional to 2,930 and 5,210.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,930 : 5,210.50 = 5,210.50 : x
2. Step 2: Convert to fraction form
   2,930/5,210.50 = 5,210.50/x
3. Step 3: Cross multiply
   2,930x = 5,210.50 × 5,210.50
4. Step 4: Simplify right side
   2,930x = 27,149,310.25
5. Step 5: Solve for x
   x = 27,149,310.25/2,930
6. Step 6: Final answer
   x = 9,265.98