Finding the Third Proportional to 6,410 and 13,873.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,410 : 13,873.50 = 13,873.50 : x
2. Step 2: Convert to fraction form
   6,410/13,873.50 = 13,873.50/x
3. Step 3: Cross multiply
   6,410x = 13,873.50 × 13,873.50
4. Step 4: Simplify right side
   6,410x = 192,474,002.25
5. Step 5: Solve for x
   x = 192,474,002.25/6,410
6. Step 6: Final answer
   x = 30,027.15