Finding the Third Proportional to 19,657 and 42,442

Step by Step Solution

1. Step 1: Write the proportion equation
   19,657 : 42,442 = 42,442 : x
2. Step 2: Convert to fraction form
   19,657/42,442 = 42,442/x
3. Step 3: Cross multiply
   19,657x = 42,442 × 42,442
4. Step 4: Simplify right side
   19,657x = 1,801,323,364
5. Step 5: Solve for x
   x = 1,801,323,364/19,657
6. Step 6: Final answer
   x = 91,637.76