Finding the Third Proportional to 23,827 and 45,494

Step by Step Solution

1. Step 1: Write the proportion equation
   23,827 : 45,494 = 45,494 : x
2. Step 2: Convert to fraction form
   23,827/45,494 = 45,494/x
3. Step 3: Cross multiply
   23,827x = 45,494 × 45,494
4. Step 4: Simplify right side
   23,827x = 2,069,704,036
5. Step 5: Solve for x
   x = 2,069,704,036/23,827
6. Step 6: Final answer
   x = 86,863.81