Finding the Third Proportional to 42,277 and 65,553

Step by Step Solution

1. Step 1: Write the proportion equation
   42,277 : 65,553 = 65,553 : x
2. Step 2: Convert to fraction form
   42,277/65,553 = 65,553/x
3. Step 3: Cross multiply
   42,277x = 65,553 × 65,553
4. Step 4: Simplify right side
   42,277x = 4,297,195,809
5. Step 5: Solve for x
   x = 4,297,195,809/42,277
6. Step 6: Final answer
   x = 101,643.82