Finding the Third Proportional to 26,188.50 and 37,027.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,188.50 : 37,027.50 = 37,027.50 : x
2. Step 2: Convert to fraction form
   26,188.50/37,027.50 = 37,027.50/x
3. Step 3: Cross multiply
   26,188.50x = 37,027.50 × 37,027.50
4. Step 4: Simplify right side
   26,188.50x = 1,371,035,756.25
5. Step 5: Solve for x
   x = 1,371,035,756.25/26,188.50
6. Step 6: Final answer
   x = 52,352.59