Finding the Third Proportional to 11,778 and 27,619.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,778 : 27,619.50 = 27,619.50 : x
2. Step 2: Convert to fraction form
   11,778/27,619.50 = 27,619.50/x
3. Step 3: Cross multiply
   11,778x = 27,619.50 × 27,619.50
4. Step 4: Simplify right side
   11,778x = 762,836,780.25
5. Step 5: Solve for x
   x = 762,836,780.25/11,778
6. Step 6: Final answer
   x = 64,767.94