Finding the Third Proportional to 4,592.25 and 7,009.88

Step by Step Solution

1. Step 1: Write the proportion equation
   4,592.25 : 7,009.88 = 7,009.88 : x
2. Step 2: Convert to fraction form
   4,592.25/7,009.88 = 7,009.88/x
3. Step 3: Cross multiply
   4,592.25x = 7,009.88 × 7,009.88
4. Step 4: Simplify right side
   4,592.25x = 49,138,347.52
5. Step 5: Solve for x
   x = 49,138,347.52/4,592.25
6. Step 6: Final answer
   x = 10,700.28