Finding the Third Proportional to 61,846 and 96,002

Step by Step Solution

1. Step 1: Write the proportion equation
   61,846 : 96,002 = 96,002 : x
2. Step 2: Convert to fraction form
   61,846/96,002 = 96,002/x
3. Step 3: Cross multiply
   61,846x = 96,002 × 96,002
4. Step 4: Simplify right side
   61,846x = 9,216,384,004
5. Step 5: Solve for x
   x = 9,216,384,004/61,846
6. Step 6: Final answer
   x = 149,021.51