Finding the Third Proportional to 40,972 and 86,064

Step by Step Solution

1. Step 1: Write the proportion equation
   40,972 : 86,064 = 86,064 : x
2. Step 2: Convert to fraction form
   40,972/86,064 = 86,064/x
3. Step 3: Cross multiply
   40,972x = 86,064 × 86,064
4. Step 4: Simplify right side
   40,972x = 7,407,012,096
5. Step 5: Solve for x
   x = 7,407,012,096/40,972
6. Step 6: Final answer
   x = 180,782.29