Finding the Third Proportional to 46,002 and 65,106

Step by Step Solution

1. Step 1: Write the proportion equation
   46,002 : 65,106 = 65,106 : x
2. Step 2: Convert to fraction form
   46,002/65,106 = 65,106/x
3. Step 3: Cross multiply
   46,002x = 65,106 × 65,106
4. Step 4: Simplify right side
   46,002x = 4,238,791,236
5. Step 5: Solve for x
   x = 4,238,791,236/46,002
6. Step 6: Final answer
   x = 92,143.63