Finding the Third Proportional to 26,501 and 37,141.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,501 : 37,141.50 = 37,141.50 : x
2. Step 2: Convert to fraction form
   26,501/37,141.50 = 37,141.50/x
3. Step 3: Cross multiply
   26,501x = 37,141.50 × 37,141.50
4. Step 4: Simplify right side
   26,501x = 1,379,491,022.25
5. Step 5: Solve for x
   x = 1,379,491,022.25/26,501
6. Step 6: Final answer
   x = 52,054.30