Finding the Third Proportional to 37,584 and 52,546

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 52,546 = 52,546 : x
2. Step 2: Convert to fraction form
   37,584/52,546 = 52,546/x
3. Step 3: Cross multiply
   37,584x = 52,546 × 52,546
4. Step 4: Simplify right side
   37,584x = 2,761,082,116
5. Step 5: Solve for x
   x = 2,761,082,116/37,584
6. Step 6: Final answer
   x = 73,464.30