Finding the Third Proportional to 34,698.38 and 74,322.56

Step by Step Solution

1. Step 1: Write the proportion equation
   34,698.38 : 74,322.56 = 74,322.56 : x
2. Step 2: Convert to fraction form
   34,698.38/74,322.56 = 74,322.56/x
3. Step 3: Cross multiply
   34,698.38x = 74,322.56 × 74,322.56
4. Step 4: Simplify right side
   34,698.38x = 5,523,843,296.57
5. Step 5: Solve for x
   x = 5,523,843,296.57/34,698.38
6. Step 6: Final answer
   x = 159,196.02