Finding the Third Proportional to 65,900 and 102,002

Step by Step Solution

1. Step 1: Write the proportion equation
   65,900 : 102,002 = 102,002 : x
2. Step 2: Convert to fraction form
   65,900/102,002 = 102,002/x
3. Step 3: Cross multiply
   65,900x = 102,002 × 102,002
4. Step 4: Simplify right side
   65,900x = 10,404,408,004
5. Step 5: Solve for x
   x = 10,404,408,004/65,900
6. Step 6: Final answer
   x = 157,881.76