Finding the Third Proportional to 11,677.50 and 17,732.25

Step by Step Solution

1. Step 1: Write the proportion equation
   11,677.50 : 17,732.25 = 17,732.25 : x
2. Step 2: Convert to fraction form
   11,677.50/17,732.25 = 17,732.25/x
3. Step 3: Cross multiply
   11,677.50x = 17,732.25 × 17,732.25
4. Step 4: Simplify right side
   11,677.50x = 314,432,690.06
5. Step 5: Solve for x
   x = 314,432,690.06/11,677.50
6. Step 6: Final answer
   x = 26,926.37