Finding the Third Proportional to 34,529 and 74,818

Step by Step Solution

1. Step 1: Write the proportion equation
   34,529 : 74,818 = 74,818 : x
2. Step 2: Convert to fraction form
   34,529/74,818 = 74,818/x
3. Step 3: Cross multiply
   34,529x = 74,818 × 74,818
4. Step 4: Simplify right side
   34,529x = 5,597,733,124
5. Step 5: Solve for x
   x = 5,597,733,124/34,529
6. Step 6: Final answer
   x = 162,116.86