Finding the Third Proportional to 34,638.05 and 74,456.02

Step by Step Solution

1. Step 1: Write the proportion equation
   34,638.05 : 74,456.02 = 74,456.02 : x
2. Step 2: Convert to fraction form
   34,638.05/74,456.02 = 74,456.02/x
3. Step 3: Cross multiply
   34,638.05x = 74,456.02 × 74,456.02
4. Step 4: Simplify right side
   34,638.05x = 5,543,698,262.75
5. Step 5: Solve for x
   x = 5,543,698,262.75/34,638.05
6. Step 6: Final answer
   x = 160,046.50