Finding the Third Proportional to 11,358 and 17,140.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,358 : 17,140.50 = 17,140.50 : x
2. Step 2: Convert to fraction form
   11,358/17,140.50 = 17,140.50/x
3. Step 3: Cross multiply
   11,358x = 17,140.50 × 17,140.50
4. Step 4: Simplify right side
   11,358x = 293,796,740.25
5. Step 5: Solve for x
   x = 293,796,740.25/11,358
6. Step 6: Final answer
   x = 25,866.94