Finding the Third Proportional to 12,208 and 18,312.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,208 : 18,312.50 = 18,312.50 : x
2. Step 2: Convert to fraction form
   12,208/18,312.50 = 18,312.50/x
3. Step 3: Cross multiply
   12,208x = 18,312.50 × 18,312.50
4. Step 4: Simplify right side
   12,208x = 335,347,656.25
5. Step 5: Solve for x
   x = 335,347,656.25/12,208
6. Step 6: Final answer
   x = 27,469.50