Finding the Third Proportional to 7,848.14 and 10,092.09

Step by Step Solution

1. Step 1: Write the proportion equation
   7,848.14 : 10,092.09 = 10,092.09 : x
2. Step 2: Convert to fraction form
   7,848.14/10,092.09 = 10,092.09/x
3. Step 3: Cross multiply
   7,848.14x = 10,092.09 × 10,092.09
4. Step 4: Simplify right side
   7,848.14x = 101,850,356.26
5. Step 5: Solve for x
   x = 101,850,356.26/7,848.14
6. Step 6: Final answer
   x = 12,977.64