Finding the Third Proportional to 42,223 and 59,378

Step by Step Solution

1. Step 1: Write the proportion equation
   42,223 : 59,378 = 59,378 : x
2. Step 2: Convert to fraction form
   42,223/59,378 = 59,378/x
3. Step 3: Cross multiply
   42,223x = 59,378 × 59,378
4. Step 4: Simplify right side
   42,223x = 3,525,746,884
5. Step 5: Solve for x
   x = 3,525,746,884/42,223
6. Step 6: Final answer
   x = 83,502.99