Finding the Third Proportional to 7,702.31 and 15,769.69

Step by Step Solution

1. Step 1: Write the proportion equation
   7,702.31 : 15,769.69 = 15,769.69 : x
2. Step 2: Convert to fraction form
   7,702.31/15,769.69 = 15,769.69/x
3. Step 3: Cross multiply
   7,702.31x = 15,769.69 × 15,769.69
4. Step 4: Simplify right side
   7,702.31x = 248,683,043.85
5. Step 5: Solve for x
   x = 248,683,043.85/7,702.31
6. Step 6: Final answer
   x = 32,286.80