Finding the Third Proportional to 27,648 and 64,928.25

Step by Step Solution

1. Step 1: Write the proportion equation
   27,648 : 64,928.25 = 64,928.25 : x
2. Step 2: Convert to fraction form
   27,648/64,928.25 = 64,928.25/x
3. Step 3: Cross multiply
   27,648x = 64,928.25 × 64,928.25
4. Step 4: Simplify right side
   27,648x = 4,215,677,648.06
5. Step 5: Solve for x
   x = 4,215,677,648.06/27,648
6. Step 6: Final answer
   x = 152,476.77