Finding the Third Proportional to 7,848 and 13,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,848 : 13,009.50 = 13,009.50 : x
2. Step 2: Convert to fraction form
   7,848/13,009.50 = 13,009.50/x
3. Step 3: Cross multiply
   7,848x = 13,009.50 × 13,009.50
4. Step 4: Simplify right side
   7,848x = 169,247,090.25
5. Step 5: Solve for x
   x = 169,247,090.25/7,848
6. Step 6: Final answer
   x = 21,565.63