Finding the Third Proportional to 11,669.50 and 17,463.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,669.50 : 17,463.50 = 17,463.50 : x
2. Step 2: Convert to fraction form
   11,669.50/17,463.50 = 17,463.50/x
3. Step 3: Cross multiply
   11,669.50x = 17,463.50 × 17,463.50
4. Step 4: Simplify right side
   11,669.50x = 304,973,832.25
5. Step 5: Solve for x
   x = 304,973,832.25/11,669.50
6. Step 6: Final answer
   x = 26,134.27