Finding the Third Proportional to 11,748.25 and 27,723.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,748.25 : 27,723.63 = 27,723.63 : x
2. Step 2: Convert to fraction form
   11,748.25/27,723.63 = 27,723.63/x
3. Step 3: Cross multiply
   11,748.25x = 27,723.63 × 27,723.63
4. Step 4: Simplify right side
   11,748.25x = 768,599,383.14
5. Step 5: Solve for x
   x = 768,599,383.14/11,748.25
6. Step 6: Final answer
   x = 65,422.46