Finding the Third Proportional to 43,874 and 64,172

Step by Step Solution

1. Step 1: Write the proportion equation
   43,874 : 64,172 = 64,172 : x
2. Step 2: Convert to fraction form
   43,874/64,172 = 64,172/x
3. Step 3: Cross multiply
   43,874x = 64,172 × 64,172
4. Step 4: Simplify right side
   43,874x = 4,118,045,584
5. Step 5: Solve for x
   x = 4,118,045,584/43,874
6. Step 6: Final answer
   x = 93,860.73