Finding the Third Proportional to 26,496 and 37,678.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,496 : 37,678.50 = 37,678.50 : x
2. Step 2: Convert to fraction form
   26,496/37,678.50 = 37,678.50/x
3. Step 3: Cross multiply
   26,496x = 37,678.50 × 37,678.50
4. Step 4: Simplify right side
   26,496x = 1,419,669,362.25
5. Step 5: Solve for x
   x = 1,419,669,362.25/26,496
6. Step 6: Final answer
   x = 53,580.52