Finding the Third Proportional to 27,628 and 42,490

Step by Step Solution

1. Step 1: Write the proportion equation
   27,628 : 42,490 = 42,490 : x
2. Step 2: Convert to fraction form
   27,628/42,490 = 42,490/x
3. Step 3: Cross multiply
   27,628x = 42,490 × 42,490
4. Step 4: Simplify right side
   27,628x = 1,805,400,100
5. Step 5: Solve for x
   x = 1,805,400,100/27,628
6. Step 6: Final answer
   x = 65,346.75