Finding the Third Proportional to 40,692 and 86,640

Step by Step Solution

1. Step 1: Write the proportion equation
   40,692 : 86,640 = 86,640 : x
2. Step 2: Convert to fraction form
   40,692/86,640 = 86,640/x
3. Step 3: Cross multiply
   40,692x = 86,640 × 86,640
4. Step 4: Simplify right side
   40,692x = 7,506,489,600
5. Step 5: Solve for x
   x = 7,506,489,600/40,692
6. Step 6: Final answer
   x = 184,470.89