Finding the Third Proportional to 5,412 and 13,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,412 : 13,099.50 = 13,099.50 : x
2. Step 2: Convert to fraction form
   5,412/13,099.50 = 13,099.50/x
3. Step 3: Cross multiply
   5,412x = 13,099.50 × 13,099.50
4. Step 4: Simplify right side
   5,412x = 171,596,900.25
5. Step 5: Solve for x
   x = 171,596,900.25/5,412
6. Step 6: Final answer
   x = 31,706.74