Finding the Third Proportional to 19,696 and 42,312

Step by Step Solution

1. Step 1: Write the proportion equation
   19,696 : 42,312 = 42,312 : x
2. Step 2: Convert to fraction form
   19,696/42,312 = 42,312/x
3. Step 3: Cross multiply
   19,696x = 42,312 × 42,312
4. Step 4: Simplify right side
   19,696x = 1,790,305,344
5. Step 5: Solve for x
   x = 1,790,305,344/19,696
6. Step 6: Final answer
   x = 90,896.90