Finding the Third Proportional to 11,214 and 17,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,214 : 17,593.50 = 17,593.50 : x
2. Step 2: Convert to fraction form
   11,214/17,593.50 = 17,593.50/x
3. Step 3: Cross multiply
   11,214x = 17,593.50 × 17,593.50
4. Step 4: Simplify right side
   11,214x = 309,531,242.25
5. Step 5: Solve for x
   x = 309,531,242.25/11,214
6. Step 6: Final answer
   x = 27,602.22