Finding the Third Proportional to 38,494 and 83,954

Step by Step Solution

1. Step 1: Write the proportion equation
   38,494 : 83,954 = 83,954 : x
2. Step 2: Convert to fraction form
   38,494/83,954 = 83,954/x
3. Step 3: Cross multiply
   38,494x = 83,954 × 83,954
4. Step 4: Simplify right side
   38,494x = 7,048,274,116
5. Step 5: Solve for x
   x = 7,048,274,116/38,494
6. Step 6: Final answer
   x = 183,100.59