Finding the Third Proportional to 26,388 and 37,152

Step by Step Solution

1. Step 1: Write the proportion equation
   26,388 : 37,152 = 37,152 : x
2. Step 2: Convert to fraction form
   26,388/37,152 = 37,152/x
3. Step 3: Cross multiply
   26,388x = 37,152 × 37,152
4. Step 4: Simplify right side
   26,388x = 1,380,271,104
5. Step 5: Solve for x
   x = 1,380,271,104/26,388
6. Step 6: Final answer
   x = 52,306.77