Finding the Third Proportional to 5,122.31 and 7,884.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,122.31 : 7,884.56 = 7,884.56 : x
2. Step 2: Convert to fraction form
   5,122.31/7,884.56 = 7,884.56/x
3. Step 3: Cross multiply
   5,122.31x = 7,884.56 × 7,884.56
4. Step 4: Simplify right side
   5,122.31x = 62,166,325.82
5. Step 5: Solve for x
   x = 62,166,325.82/5,122.31
6. Step 6: Final answer
   x = 12,136.38