Finding the Third Proportional to 3,636 and 7,927.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,636 : 7,927.50 = 7,927.50 : x
2. Step 2: Convert to fraction form
   3,636/7,927.50 = 7,927.50/x
3. Step 3: Cross multiply
   3,636x = 7,927.50 × 7,927.50
4. Step 4: Simplify right side
   3,636x = 62,845,256.25
5. Step 5: Solve for x
   x = 62,845,256.25/3,636
6. Step 6: Final answer
   x = 17,284.17