Finding the Third Proportional to 12,567 and 34,185

Step by Step Solution

1. Step 1: Write the proportion equation
   12,567 : 34,185 = 34,185 : x
2. Step 2: Convert to fraction form
   12,567/34,185 = 34,185/x
3. Step 3: Cross multiply
   12,567x = 34,185 × 34,185
4. Step 4: Simplify right side
   12,567x = 1,168,614,225
5. Step 5: Solve for x
   x = 1,168,614,225/12,567
6. Step 6: Final answer
   x = 92,990.71