Finding the Third Proportional to 35,390 and 83,426

Step by Step Solution

1. Step 1: Write the proportion equation
   35,390 : 83,426 = 83,426 : x
2. Step 2: Convert to fraction form
   35,390/83,426 = 83,426/x
3. Step 3: Cross multiply
   35,390x = 83,426 × 83,426
4. Step 4: Simplify right side
   35,390x = 6,959,897,476
5. Step 5: Solve for x
   x = 6,959,897,476/35,390
6. Step 6: Final answer
   x = 196,662.83