Finding the Third Proportional to 19,705 and 42,688

Step by Step Solution

1. Step 1: Write the proportion equation
   19,705 : 42,688 = 42,688 : x
2. Step 2: Convert to fraction form
   19,705/42,688 = 42,688/x
3. Step 3: Cross multiply
   19,705x = 42,688 × 42,688
4. Step 4: Simplify right side
   19,705x = 1,822,265,344
5. Step 5: Solve for x
   x = 1,822,265,344/19,705
6. Step 6: Final answer
   x = 92,477.31