Finding the Third Proportional to 11,517 and 17,602.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,517 : 17,602.50 = 17,602.50 : x
2. Step 2: Convert to fraction form
   11,517/17,602.50 = 17,602.50/x
3. Step 3: Cross multiply
   11,517x = 17,602.50 × 17,602.50
4. Step 4: Simplify right side
   11,517x = 309,848,006.25
5. Step 5: Solve for x
   x = 309,848,006.25/11,517
6. Step 6: Final answer
   x = 26,903.53