Finding the Third Proportional to 11,005.88 and 23,972.63

Step by Step Solution

1. Step 1: Write the proportion equation
   11,005.88 : 23,972.63 = 23,972.63 : x
2. Step 2: Convert to fraction form
   11,005.88/23,972.63 = 23,972.63/x
3. Step 3: Cross multiply
   11,005.88x = 23,972.63 × 23,972.63
4. Step 4: Simplify right side
   11,005.88x = 574,686,749.39
5. Step 5: Solve for x
   x = 574,686,749.39/11,005.88
6. Step 6: Final answer
   x = 52,216.36