Finding the Third Proportional to 36,958 and 81,003

Step by Step Solution

1. Step 1: Write the proportion equation
   36,958 : 81,003 = 81,003 : x
2. Step 2: Convert to fraction form
   36,958/81,003 = 81,003/x
3. Step 3: Cross multiply
   36,958x = 81,003 × 81,003
4. Step 4: Simplify right side
   36,958x = 6,561,486,009
5. Step 5: Solve for x
   x = 6,561,486,009/36,958
6. Step 6: Final answer
   x = 177,538.99