Finding the Third Proportional to 10,688 and 18,338.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,688 : 18,338.50 = 18,338.50 : x
2. Step 2: Convert to fraction form
   10,688/18,338.50 = 18,338.50/x
3. Step 3: Cross multiply
   10,688x = 18,338.50 × 18,338.50
4. Step 4: Simplify right side
   10,688x = 336,300,582.25
5. Step 5: Solve for x
   x = 336,300,582.25/10,688
6. Step 6: Final answer
   x = 31,465.25