Finding the Third Proportional to 34,022.50 and 74,687

Step by Step Solution

1. Step 1: Write the proportion equation
   34,022.50 : 74,687 = 74,687 : x
2. Step 2: Convert to fraction form
   34,022.50/74,687 = 74,687/x
3. Step 3: Cross multiply
   34,022.50x = 74,687 × 74,687
4. Step 4: Simplify right side
   34,022.50x = 5,578,147,969
5. Step 5: Solve for x
   x = 5,578,147,969/34,022.50
6. Step 6: Final answer
   x = 163,954.68