Finding the Third Proportional to 5,298 and 12,316.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,298 : 12,316.50 = 12,316.50 : x
2. Step 2: Convert to fraction form
   5,298/12,316.50 = 12,316.50/x
3. Step 3: Cross multiply
   5,298x = 12,316.50 × 12,316.50
4. Step 4: Simplify right side
   5,298x = 151,696,172.25
5. Step 5: Solve for x
   x = 151,696,172.25/5,298
6. Step 6: Final answer
   x = 28,632.72