Finding the Third Proportional to 42,111 and 65,628

Step by Step Solution

1. Step 1: Write the proportion equation
   42,111 : 65,628 = 65,628 : x
2. Step 2: Convert to fraction form
   42,111/65,628 = 65,628/x
3. Step 3: Cross multiply
   42,111x = 65,628 × 65,628
4. Step 4: Simplify right side
   42,111x = 4,307,034,384
5. Step 5: Solve for x
   x = 4,307,034,384/42,111
6. Step 6: Final answer
   x = 102,278.13