Finding the Third Proportional to 19,691 and 42,838

Step by Step Solution

1. Step 1: Write the proportion equation
   19,691 : 42,838 = 42,838 : x
2. Step 2: Convert to fraction form
   19,691/42,838 = 42,838/x
3. Step 3: Cross multiply
   19,691x = 42,838 × 42,838
4. Step 4: Simplify right side
   19,691x = 1,835,094,244
5. Step 5: Solve for x
   x = 1,835,094,244/19,691
6. Step 6: Final answer
   x = 93,194.57