Finding the Third Proportional to 11,974.50 and 27,776.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,974.50 : 27,776.25 = 27,776.25 : x
2. Step 2: Convert to fraction form
   11,974.50/27,776.25 = 27,776.25/x
3. Step 3: Cross multiply
   11,974.50x = 27,776.25 × 27,776.25
4. Step 4: Simplify right side
   11,974.50x = 771,520,064.06
5. Step 5: Solve for x
   x = 771,520,064.06/11,974.50
6. Step 6: Final answer
   x = 64,430.25