Finding the Third Proportional to 23,114 and 35,711

Step by Step Solution

1. Step 1: Write the proportion equation
   23,114 : 35,711 = 35,711 : x
2. Step 2: Convert to fraction form
   23,114/35,711 = 35,711/x
3. Step 3: Cross multiply
   23,114x = 35,711 × 35,711
4. Step 4: Simplify right side
   23,114x = 1,275,275,521
5. Step 5: Solve for x
   x = 1,275,275,521/23,114
6. Step 6: Final answer
   x = 55,173.29