Finding the Third Proportional to 34,500 and 74,184

Step by Step Solution

1. Step 1: Write the proportion equation
   34,500 : 74,184 = 74,184 : x
2. Step 2: Convert to fraction form
   34,500/74,184 = 74,184/x
3. Step 3: Cross multiply
   34,500x = 74,184 × 74,184
4. Step 4: Simplify right side
   34,500x = 5,503,265,856
5. Step 5: Solve for x
   x = 5,503,265,856/34,500
6. Step 6: Final answer
   x = 159,514.95