Finding the Third Proportional to 30,258 and 73,053

Step by Step Solution

1. Step 1: Write the proportion equation
   30,258 : 73,053 = 73,053 : x
2. Step 2: Convert to fraction form
   30,258/73,053 = 73,053/x
3. Step 3: Cross multiply
   30,258x = 73,053 × 73,053
4. Step 4: Simplify right side
   30,258x = 5,336,740,809
5. Step 5: Solve for x
   x = 5,336,740,809/30,258
6. Step 6: Final answer
   x = 176,374.54