Finding the Third Proportional to 34,864 and 54,064

Step by Step Solution

1. Step 1: Write the proportion equation
   34,864 : 54,064 = 54,064 : x
2. Step 2: Convert to fraction form
   34,864/54,064 = 54,064/x
3. Step 3: Cross multiply
   34,864x = 54,064 × 54,064
4. Step 4: Simplify right side
   34,864x = 2,922,916,096
5. Step 5: Solve for x
   x = 2,922,916,096/34,864
6. Step 6: Final answer
   x = 83,837.66