Finding the Third Proportional to 11,736 and 27,686.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,736 : 27,686.25 = 27,686.25 : x
2. Step 2: Convert to fraction form
   11,736/27,686.25 = 27,686.25/x
3. Step 3: Cross multiply
   11,736x = 27,686.25 × 27,686.25
4. Step 4: Simplify right side
   11,736x = 766,528,439.06
5. Step 5: Solve for x
   x = 766,528,439.06/11,736
6. Step 6: Final answer
   x = 65,314.28