Finding the Third Proportional to 5,308.31 and 7,961.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,308.31 : 7,961.63 = 7,961.63 : x
2. Step 2: Convert to fraction form
   5,308.31/7,961.63 = 7,961.63/x
3. Step 3: Cross multiply
   5,308.31x = 7,961.63 × 7,961.63
4. Step 4: Simplify right side
   5,308.31x = 63,387,472.64
5. Step 5: Solve for x
   x = 63,387,472.64/5,308.31
6. Step 6: Final answer
   x = 11,941.17