Finding the Third Proportional to 23,180 and 34,877

Step by Step Solution

1. Step 1: Write the proportion equation
   23,180 : 34,877 = 34,877 : x
2. Step 2: Convert to fraction form
   23,180/34,877 = 34,877/x
3. Step 3: Cross multiply
   23,180x = 34,877 × 34,877
4. Step 4: Simplify right side
   23,180x = 1,216,405,129
5. Step 5: Solve for x
   x = 1,216,405,129/23,180
6. Step 6: Final answer
   x = 52,476.49