Finding the Third Proportional to 26,748 and 35,784

Step by Step Solution

1. Step 1: Write the proportion equation
   26,748 : 35,784 = 35,784 : x
2. Step 2: Convert to fraction form
   26,748/35,784 = 35,784/x
3. Step 3: Cross multiply
   26,748x = 35,784 × 35,784
4. Step 4: Simplify right side
   26,748x = 1,280,494,656
5. Step 5: Solve for x
   x = 1,280,494,656/26,748
6. Step 6: Final answer
   x = 47,872.54