Finding the Third Proportional to 20,346 and 42,880

Step by Step Solution

1. Step 1: Write the proportion equation
   20,346 : 42,880 = 42,880 : x
2. Step 2: Convert to fraction form
   20,346/42,880 = 42,880/x
3. Step 3: Cross multiply
   20,346x = 42,880 × 42,880
4. Step 4: Simplify right side
   20,346x = 1,838,694,400
5. Step 5: Solve for x
   x = 1,838,694,400/20,346
6. Step 6: Final answer
   x = 90,371.30