Finding the Third Proportional to 42,428 and 83,786

Step by Step Solution

1. Step 1: Write the proportion equation
   42,428 : 83,786 = 83,786 : x
2. Step 2: Convert to fraction form
   42,428/83,786 = 83,786/x
3. Step 3: Cross multiply
   42,428x = 83,786 × 83,786
4. Step 4: Simplify right side
   42,428x = 7,020,093,796
5. Step 5: Solve for x
   x = 7,020,093,796/42,428
6. Step 6: Final answer
   x = 165,458.98