Finding the Third Proportional to 7,772.63 and 16,576.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,772.63 : 16,576.31 = 16,576.31 : x
2. Step 2: Convert to fraction form
   7,772.63/16,576.31 = 16,576.31/x
3. Step 3: Cross multiply
   7,772.63x = 16,576.31 × 16,576.31
4. Step 4: Simplify right side
   7,772.63x = 274,774,136.10
5. Step 5: Solve for x
   x = 274,774,136.10/7,772.63
6. Step 6: Final answer
   x = 35,351.52