Finding the Third Proportional to 72,829.50 and 109,911

Step by Step Solution

1. Step 1: Write the proportion equation
   72,829.50 : 109,911 = 109,911 : x
2. Step 2: Convert to fraction form
   72,829.50/109,911 = 109,911/x
3. Step 3: Cross multiply
   72,829.50x = 109,911 × 109,911
4. Step 4: Simplify right side
   72,829.50x = 12,080,427,921
5. Step 5: Solve for x
   x = 12,080,427,921/72,829.50
6. Step 6: Final answer
   x = 165,872.73