Finding the Third Proportional to 9,216 and 18,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,216 : 18,706.50 = 18,706.50 : x
2. Step 2: Convert to fraction form
   9,216/18,706.50 = 18,706.50/x
3. Step 3: Cross multiply
   9,216x = 18,706.50 × 18,706.50
4. Step 4: Simplify right side
   9,216x = 349,933,142.25
5. Step 5: Solve for x
   x = 349,933,142.25/9,216
6. Step 6: Final answer
   x = 37,970.18