Finding the Third Proportional to 7,664.31 and 10,299.34

Step by Step Solution

1. Step 1: Write the proportion equation
   7,664.31 : 10,299.34 = 10,299.34 : x
2. Step 2: Convert to fraction form
   7,664.31/10,299.34 = 10,299.34/x
3. Step 3: Cross multiply
   7,664.31x = 10,299.34 × 10,299.34
4. Step 4: Simplify right side
   7,664.31x = 106,076,401.22
5. Step 5: Solve for x
   x = 106,076,401.22/7,664.31
6. Step 6: Final answer
   x = 13,840.31