Finding the Third Proportional to 26,627.50 and 40,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,627.50 : 40,427.50 = 40,427.50 : x
2. Step 2: Convert to fraction form
   26,627.50/40,427.50 = 40,427.50/x
3. Step 3: Cross multiply
   26,627.50x = 40,427.50 × 40,427.50
4. Step 4: Simplify right side
   26,627.50x = 1,634,382,756.25
5. Step 5: Solve for x
   x = 1,634,382,756.25/26,627.50
6. Step 6: Final answer
   x = 61,379.50