Finding the Third Proportional to 38,756 and 83,426

Step by Step Solution

1. Step 1: Write the proportion equation
   38,756 : 83,426 = 83,426 : x
2. Step 2: Convert to fraction form
   38,756/83,426 = 83,426/x
3. Step 3: Cross multiply
   38,756x = 83,426 × 83,426
4. Step 4: Simplify right side
   38,756x = 6,959,897,476
5. Step 5: Solve for x
   x = 6,959,897,476/38,756
6. Step 6: Final answer
   x = 179,582.45