Finding the Third Proportional to 5,466 and 12,832.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,466 : 12,832.50 = 12,832.50 : x
2. Step 2: Convert to fraction form
   5,466/12,832.50 = 12,832.50/x
3. Step 3: Cross multiply
   5,466x = 12,832.50 × 12,832.50
4. Step 4: Simplify right side
   5,466x = 164,673,056.25
5. Step 5: Solve for x
   x = 164,673,056.25/5,466
6. Step 6: Final answer
   x = 30,126.79