Finding the Third Proportional to 42,223 and 65,890

Step by Step Solution

1. Step 1: Write the proportion equation
   42,223 : 65,890 = 65,890 : x
2. Step 2: Convert to fraction form
   42,223/65,890 = 65,890/x
3. Step 3: Cross multiply
   42,223x = 65,890 × 65,890
4. Step 4: Simplify right side
   42,223x = 4,341,492,100
5. Step 5: Solve for x
   x = 4,341,492,100/42,223
6. Step 6: Final answer
   x = 102,822.92