Finding the Third Proportional to 26,526 and 37,182

Step by Step Solution

1. Step 1: Write the proportion equation
   26,526 : 37,182 = 37,182 : x
2. Step 2: Convert to fraction form
   26,526/37,182 = 37,182/x
3. Step 3: Cross multiply
   26,526x = 37,182 × 37,182
4. Step 4: Simplify right side
   26,526x = 1,382,501,124
5. Step 5: Solve for x
   x = 1,382,501,124/26,526
6. Step 6: Final answer
   x = 52,118.72