Finding the Third Proportional to 26,278.50 and 37,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,278.50 : 37,777.50 = 37,777.50 : x
2. Step 2: Convert to fraction form
   26,278.50/37,777.50 = 37,777.50/x
3. Step 3: Cross multiply
   26,278.50x = 37,777.50 × 37,777.50
4. Step 4: Simplify right side
   26,278.50x = 1,427,139,506.25
5. Step 5: Solve for x
   x = 1,427,139,506.25/26,278.50
6. Step 6: Final answer
   x = 54,308.26