Finding the Third Proportional to 5,354.16 and 7,848.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,354.16 : 7,848.56 = 7,848.56 : x
2. Step 2: Convert to fraction form
   5,354.16/7,848.56 = 7,848.56/x
3. Step 3: Cross multiply
   5,354.16x = 7,848.56 × 7,848.56
4. Step 4: Simplify right side
   5,354.16x = 61,599,933.32
5. Step 5: Solve for x
   x = 61,599,933.32/5,354.16
6. Step 6: Final answer
   x = 11,505.07