Finding the Third Proportional to 3,497.50 and 5,279.94

Step by Step Solution

1. Step 1: Write the proportion equation
   3,497.50 : 5,279.94 = 5,279.94 : x
2. Step 2: Convert to fraction form
   3,497.50/5,279.94 = 5,279.94/x
3. Step 3: Cross multiply
   3,497.50x = 5,279.94 × 5,279.94
4. Step 4: Simplify right side
   3,497.50x = 27,877,740.00
5. Step 5: Solve for x
   x = 27,877,740.00/3,497.50
6. Step 6: Final answer
   x = 7,970.76