Finding the Third Proportional to 6,566.34 and 9,826.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,566.34 : 9,826.31 = 9,826.31 : x
2. Step 2: Convert to fraction form
   6,566.34/9,826.31 = 9,826.31/x
3. Step 3: Cross multiply
   6,566.34x = 9,826.31 × 9,826.31
4. Step 4: Simplify right side
   6,566.34x = 96,556,417.35
5. Step 5: Solve for x
   x = 96,556,417.35/6,566.34
6. Step 6: Final answer
   x = 14,704.75