Finding the Third Proportional to 23,661 and 37,138.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,661 : 37,138.50 = 37,138.50 : x
2. Step 2: Convert to fraction form
   23,661/37,138.50 = 37,138.50/x
3. Step 3: Cross multiply
   23,661x = 37,138.50 × 37,138.50
4. Step 4: Simplify right side
   23,661x = 1,379,268,182.25
5. Step 5: Solve for x
   x = 1,379,268,182.25/23,661
6. Step 6: Final answer
   x = 58,292.89