Finding the Third Proportional to 37,968 and 61,006

Step by Step Solution

1. Step 1: Write the proportion equation
   37,968 : 61,006 = 61,006 : x
2. Step 2: Convert to fraction form
   37,968/61,006 = 61,006/x
3. Step 3: Cross multiply
   37,968x = 61,006 × 61,006
4. Step 4: Simplify right side
   37,968x = 3,721,732,036
5. Step 5: Solve for x
   x = 3,721,732,036/37,968
6. Step 6: Final answer
   x = 98,022.86