Finding the Third Proportional to 35,426 and 54,276

Step by Step Solution

1. Step 1: Write the proportion equation
   35,426 : 54,276 = 54,276 : x
2. Step 2: Convert to fraction form
   35,426/54,276 = 54,276/x
3. Step 3: Cross multiply
   35,426x = 54,276 × 54,276
4. Step 4: Simplify right side
   35,426x = 2,945,884,176
5. Step 5: Solve for x
   x = 2,945,884,176/35,426
6. Step 6: Final answer
   x = 83,155.99