Finding the Third Proportional to 34,305.75 and 74,623.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,305.75 : 74,623.50 = 74,623.50 : x
2. Step 2: Convert to fraction form
   34,305.75/74,623.50 = 74,623.50/x
3. Step 3: Cross multiply
   34,305.75x = 74,623.50 × 74,623.50
4. Step 4: Simplify right side
   34,305.75x = 5,568,666,752.25
5. Step 5: Solve for x
   x = 5,568,666,752.25/34,305.75
6. Step 6: Final answer
   x = 162,324.59