Finding the Third Proportional to 26,145 and 37,021.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,145 : 37,021.50 = 37,021.50 : x
2. Step 2: Convert to fraction form
   26,145/37,021.50 = 37,021.50/x
3. Step 3: Cross multiply
   26,145x = 37,021.50 × 37,021.50
4. Step 4: Simplify right side
   26,145x = 1,370,591,462.25
5. Step 5: Solve for x
   x = 1,370,591,462.25/26,145
6. Step 6: Final answer
   x = 52,422.70