Finding the Third Proportional to 42,716 and 85,384

Step by Step Solution

1. Step 1: Write the proportion equation
   42,716 : 85,384 = 85,384 : x
2. Step 2: Convert to fraction form
   42,716/85,384 = 85,384/x
3. Step 3: Cross multiply
   42,716x = 85,384 × 85,384
4. Step 4: Simplify right side
   42,716x = 7,290,427,456
5. Step 5: Solve for x
   x = 7,290,427,456/42,716
6. Step 6: Final answer
   x = 170,672.05