Finding the Third Proportional to 11,588.06 and 21,520.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,588.06 : 21,520.69 = 21,520.69 : x
2. Step 2: Convert to fraction form
   11,588.06/21,520.69 = 21,520.69/x
3. Step 3: Cross multiply
   11,588.06x = 21,520.69 × 21,520.69
4. Step 4: Simplify right side
   11,588.06x = 463,139,990.47
5. Step 5: Solve for x
   x = 463,139,990.47/11,588.06
6. Step 6: Final answer
   x = 39,966.99