Finding the Third Proportional to 5,358 and 12,688.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,358 : 12,688.50 = 12,688.50 : x
2. Step 2: Convert to fraction form
   5,358/12,688.50 = 12,688.50/x
3. Step 3: Cross multiply
   5,358x = 12,688.50 × 12,688.50
4. Step 4: Simplify right side
   5,358x = 160,998,032.25
5. Step 5: Solve for x
   x = 160,998,032.25/5,358
6. Step 6: Final answer
   x = 30,048.16