Finding the Third Proportional to 40,464 and 62,830

Step by Step Solution

1. Step 1: Write the proportion equation
   40,464 : 62,830 = 62,830 : x
2. Step 2: Convert to fraction form
   40,464/62,830 = 62,830/x
3. Step 3: Cross multiply
   40,464x = 62,830 × 62,830
4. Step 4: Simplify right side
   40,464x = 3,947,608,900
5. Step 5: Solve for x
   x = 3,947,608,900/40,464
6. Step 6: Final answer
   x = 97,558.54