Finding the Third Proportional to 40,091 and 86,740

Step by Step Solution

1. Step 1: Write the proportion equation
   40,091 : 86,740 = 86,740 : x
2. Step 2: Convert to fraction form
   40,091/86,740 = 86,740/x
3. Step 3: Cross multiply
   40,091x = 86,740 × 86,740
4. Step 4: Simplify right side
   40,091x = 7,523,827,600
5. Step 5: Solve for x
   x = 7,523,827,600/40,091
6. Step 6: Final answer
   x = 187,668.74