Finding the Third Proportional to 12,567 and 24,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,567 : 24,814.50 = 24,814.50 : x
2. Step 2: Convert to fraction form
   12,567/24,814.50 = 24,814.50/x
3. Step 3: Cross multiply
   12,567x = 24,814.50 × 24,814.50
4. Step 4: Simplify right side
   12,567x = 615,759,410.25
5. Step 5: Solve for x
   x = 615,759,410.25/12,567
6. Step 6: Final answer
   x = 48,998.12