Finding the Third Proportional to 7,817 and 17,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,817 : 17,116.50 = 17,116.50 : x
2. Step 2: Convert to fraction form
   7,817/17,116.50 = 17,116.50/x
3. Step 3: Cross multiply
   7,817x = 17,116.50 × 17,116.50
4. Step 4: Simplify right side
   7,817x = 292,974,572.25
5. Step 5: Solve for x
   x = 292,974,572.25/7,817
6. Step 6: Final answer
   x = 37,479.16