Finding the Third Proportional to 40,698 and 61,006

Step by Step Solution

1. Step 1: Write the proportion equation
   40,698 : 61,006 = 61,006 : x
2. Step 2: Convert to fraction form
   40,698/61,006 = 61,006/x
3. Step 3: Cross multiply
   40,698x = 61,006 × 61,006
4. Step 4: Simplify right side
   40,698x = 3,721,732,036
5. Step 5: Solve for x
   x = 3,721,732,036/40,698
6. Step 6: Final answer
   x = 91,447.54