Finding the Third Proportional to 72,029 and 109,037

Step by Step Solution

1. Step 1: Write the proportion equation
   72,029 : 109,037 = 109,037 : x
2. Step 2: Convert to fraction form
   72,029/109,037 = 109,037/x
3. Step 3: Cross multiply
   72,029x = 109,037 × 109,037
4. Step 4: Simplify right side
   72,029x = 11,889,067,369
5. Step 5: Solve for x
   x = 11,889,067,369/72,029
6. Step 6: Final answer
   x = 165,059.45