Finding the Third Proportional to 27,640 and 42,536

Step by Step Solution

1. Step 1: Write the proportion equation
   27,640 : 42,536 = 42,536 : x
2. Step 2: Convert to fraction form
   27,640/42,536 = 42,536/x
3. Step 3: Cross multiply
   27,640x = 42,536 × 42,536
4. Step 4: Simplify right side
   27,640x = 1,809,311,296
5. Step 5: Solve for x
   x = 1,809,311,296/27,640
6. Step 6: Final answer
   x = 65,459.89