Finding the Third Proportional to 33,953 and 74,818

Step by Step Solution

1. Step 1: Write the proportion equation
   33,953 : 74,818 = 74,818 : x
2. Step 2: Convert to fraction form
   33,953/74,818 = 74,818/x
3. Step 3: Cross multiply
   33,953x = 74,818 × 74,818
4. Step 4: Simplify right side
   33,953x = 5,597,733,124
5. Step 5: Solve for x
   x = 5,597,733,124/33,953
6. Step 6: Final answer
   x = 164,867.11