Finding the Third Proportional to 38,738 and 83,989

Step by Step Solution

1. Step 1: Write the proportion equation
   38,738 : 83,989 = 83,989 : x
2. Step 2: Convert to fraction form
   38,738/83,989 = 83,989/x
3. Step 3: Cross multiply
   38,738x = 83,989 × 83,989
4. Step 4: Simplify right side
   38,738x = 7,054,152,121
5. Step 5: Solve for x
   x = 7,054,152,121/38,738
6. Step 6: Final answer
   x = 182,099.03