Finding the Third Proportional to 42,128 and 65,726

Step by Step Solution

1. Step 1: Write the proportion equation
   42,128 : 65,726 = 65,726 : x
2. Step 2: Convert to fraction form
   42,128/65,726 = 65,726/x
3. Step 3: Cross multiply
   42,128x = 65,726 × 65,726
4. Step 4: Simplify right side
   42,128x = 4,319,907,076
5. Step 5: Solve for x
   x = 4,319,907,076/42,128
6. Step 6: Final answer
   x = 102,542.42