Finding the Third Proportional to 23,185 and 34,886

Step by Step Solution

1. Step 1: Write the proportion equation
   23,185 : 34,886 = 34,886 : x
2. Step 2: Convert to fraction form
   23,185/34,886 = 34,886/x
3. Step 3: Cross multiply
   23,185x = 34,886 × 34,886
4. Step 4: Simplify right side
   23,185x = 1,217,032,996
5. Step 5: Solve for x
   x = 1,217,032,996/23,185
6. Step 6: Final answer
   x = 52,492.26