Finding the Third Proportional to 11,007 and 18,697.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,007 : 18,697.50 = 18,697.50 : x
2. Step 2: Convert to fraction form
   11,007/18,697.50 = 18,697.50/x
3. Step 3: Cross multiply
   11,007x = 18,697.50 × 18,697.50
4. Step 4: Simplify right side
   11,007x = 349,596,506.25
5. Step 5: Solve for x
   x = 349,596,506.25/11,007
6. Step 6: Final answer
   x = 31,761.29