Finding the Third Proportional to 23,864 and 35,781

Step by Step Solution

1. Step 1: Write the proportion equation
   23,864 : 35,781 = 35,781 : x
2. Step 2: Convert to fraction form
   23,864/35,781 = 35,781/x
3. Step 3: Cross multiply
   23,864x = 35,781 × 35,781
4. Step 4: Simplify right side
   23,864x = 1,280,279,961
5. Step 5: Solve for x
   x = 1,280,279,961/23,864
6. Step 6: Final answer
   x = 53,649.01