Finding the Third Proportional to 46,010 and 65,111

Step by Step Solution

1. Step 1: Write the proportion equation
   46,010 : 65,111 = 65,111 : x
2. Step 2: Convert to fraction form
   46,010/65,111 = 65,111/x
3. Step 3: Cross multiply
   46,010x = 65,111 × 65,111
4. Step 4: Simplify right side
   46,010x = 4,239,442,321
5. Step 5: Solve for x
   x = 4,239,442,321/46,010
6. Step 6: Final answer
   x = 92,141.76