Finding the Third Proportional to 45,698 and 62,256

Step by Step Solution

1. Step 1: Write the proportion equation
   45,698 : 62,256 = 62,256 : x
2. Step 2: Convert to fraction form
   45,698/62,256 = 62,256/x
3. Step 3: Cross multiply
   45,698x = 62,256 × 62,256
4. Step 4: Simplify right side
   45,698x = 3,875,809,536
5. Step 5: Solve for x
   x = 3,875,809,536/45,698
6. Step 6: Final answer
   x = 84,813.55