Finding the Third Proportional to 26,588 and 37,254

Step by Step Solution

1. Step 1: Write the proportion equation
   26,588 : 37,254 = 37,254 : x
2. Step 2: Convert to fraction form
   26,588/37,254 = 37,254/x
3. Step 3: Cross multiply
   26,588x = 37,254 × 37,254
4. Step 4: Simplify right side
   26,588x = 1,387,860,516
5. Step 5: Solve for x
   x = 1,387,860,516/26,588
6. Step 6: Final answer
   x = 52,198.76