Finding the Third Proportional to 33,991 and 72,031

Step by Step Solution

1. Step 1: Write the proportion equation
   33,991 : 72,031 = 72,031 : x
2. Step 2: Convert to fraction form
   33,991/72,031 = 72,031/x
3. Step 3: Cross multiply
   33,991x = 72,031 × 72,031
4. Step 4: Simplify right side
   33,991x = 5,188,464,961
5. Step 5: Solve for x
   x = 5,188,464,961/33,991
6. Step 6: Final answer
   x = 152,642.32