Finding the Third Proportional to 23,088 and 37,183.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,088 : 37,183.50 = 37,183.50 : x
2. Step 2: Convert to fraction form
   23,088/37,183.50 = 37,183.50/x
3. Step 3: Cross multiply
   23,088x = 37,183.50 × 37,183.50
4. Step 4: Simplify right side
   23,088x = 1,382,612,672.25
5. Step 5: Solve for x
   x = 1,382,612,672.25/23,088
6. Step 6: Final answer
   x = 59,884.47