Finding the Third Proportional to 26,536 and 37,484

Step by Step Solution

1. Step 1: Write the proportion equation
   26,536 : 37,484 = 37,484 : x
2. Step 2: Convert to fraction form
   26,536/37,484 = 37,484/x
3. Step 3: Cross multiply
   26,536x = 37,484 × 37,484
4. Step 4: Simplify right side
   26,536x = 1,405,050,256
5. Step 5: Solve for x
   x = 1,405,050,256/26,536
6. Step 6: Final answer
   x = 52,948.83