Finding the Third Proportional to 26,161.50 and 37,362.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,161.50 : 37,362.50 = 37,362.50 : x
2. Step 2: Convert to fraction form
   26,161.50/37,362.50 = 37,362.50/x
3. Step 3: Cross multiply
   26,161.50x = 37,362.50 × 37,362.50
4. Step 4: Simplify right side
   26,161.50x = 1,395,956,406.25
5. Step 5: Solve for x
   x = 1,395,956,406.25/26,161.50
6. Step 6: Final answer
   x = 53,359.19