Finding the Third Proportional to 72,991 and 110,009

Step by Step Solution

1. Step 1: Write the proportion equation
   72,991 : 110,009 = 110,009 : x
2. Step 2: Convert to fraction form
   72,991/110,009 = 110,009/x
3. Step 3: Cross multiply
   72,991x = 110,009 × 110,009
4. Step 4: Simplify right side
   72,991x = 12,101,980,081
5. Step 5: Solve for x
   x = 12,101,980,081/72,991
6. Step 6: Final answer
   x = 165,800.99