Finding the Third Proportional to 40,969 and 86,738

Step by Step Solution

1. Step 1: Write the proportion equation
   40,969 : 86,738 = 86,738 : x
2. Step 2: Convert to fraction form
   40,969/86,738 = 86,738/x
3. Step 3: Cross multiply
   40,969x = 86,738 × 86,738
4. Step 4: Simplify right side
   40,969x = 7,523,480,644
5. Step 5: Solve for x
   x = 7,523,480,644/40,969
6. Step 6: Final answer
   x = 183,638.38