Finding the Third Proportional to 26,969.25 and 42,213.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,969.25 : 42,213.75 = 42,213.75 : x
2. Step 2: Convert to fraction form
   26,969.25/42,213.75 = 42,213.75/x
3. Step 3: Cross multiply
   26,969.25x = 42,213.75 × 42,213.75
4. Step 4: Simplify right side
   26,969.25x = 1,782,000,689.06
5. Step 5: Solve for x
   x = 1,782,000,689.06/26,969.25
6. Step 6: Final answer
   x = 66,075.28