Finding the Third Proportional to 41,714 and 89,948

Step by Step Solution

1. Step 1: Write the proportion equation
   41,714 : 89,948 = 89,948 : x
2. Step 2: Convert to fraction form
   41,714/89,948 = 89,948/x
3. Step 3: Cross multiply
   41,714x = 89,948 × 89,948
4. Step 4: Simplify right side
   41,714x = 8,090,642,704
5. Step 5: Solve for x
   x = 8,090,642,704/41,714
6. Step 6: Final answer
   x = 193,955.09