Finding the Third Proportional to 38,866 and 83,064

Step by Step Solution

1. Step 1: Write the proportion equation
   38,866 : 83,064 = 83,064 : x
2. Step 2: Convert to fraction form
   38,866/83,064 = 83,064/x
3. Step 3: Cross multiply
   38,866x = 83,064 × 83,064
4. Step 4: Simplify right side
   38,866x = 6,899,628,096
5. Step 5: Solve for x
   x = 6,899,628,096/38,866
6. Step 6: Final answer
   x = 177,523.49