Finding the Third Proportional to 11,411 and 17,071.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,411 : 17,071.50 = 17,071.50 : x
2. Step 2: Convert to fraction form
   11,411/17,071.50 = 17,071.50/x
3. Step 3: Cross multiply
   11,411x = 17,071.50 × 17,071.50
4. Step 4: Simplify right side
   11,411x = 291,436,112.25
5. Step 5: Solve for x
   x = 291,436,112.25/11,411
6. Step 6: Final answer
   x = 25,539.93