Finding the Third Proportional to 11,502 and 17,583.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,502 : 17,583.75 = 17,583.75 : x
2. Step 2: Convert to fraction form
   11,502/17,583.75 = 17,583.75/x
3. Step 3: Cross multiply
   11,502x = 17,583.75 × 17,583.75
4. Step 4: Simplify right side
   11,502x = 309,188,264.06
5. Step 5: Solve for x
   x = 309,188,264.06/11,502
6. Step 6: Final answer
   x = 26,881.26