Finding the Third Proportional to 72,026 and 109,033

Step by Step Solution

1. Step 1: Write the proportion equation
   72,026 : 109,033 = 109,033 : x
2. Step 2: Convert to fraction form
   72,026/109,033 = 109,033/x
3. Step 3: Cross multiply
   72,026x = 109,033 × 109,033
4. Step 4: Simplify right side
   72,026x = 11,888,195,089
5. Step 5: Solve for x
   x = 11,888,195,089/72,026
6. Step 6: Final answer
   x = 165,054.22