Finding the Third Proportional to 34,322 and 74,788

Step by Step Solution

1. Step 1: Write the proportion equation
   34,322 : 74,788 = 74,788 : x
2. Step 2: Convert to fraction form
   34,322/74,788 = 74,788/x
3. Step 3: Cross multiply
   34,322x = 74,788 × 74,788
4. Step 4: Simplify right side
   34,322x = 5,593,244,944
5. Step 5: Solve for x
   x = 5,593,244,944/34,322
6. Step 6: Final answer
   x = 162,963.84