Finding the Third Proportional to 37,582 and 52,543

Step by Step Solution

1. Step 1: Write the proportion equation
   37,582 : 52,543 = 52,543 : x
2. Step 2: Convert to fraction form
   37,582/52,543 = 52,543/x
3. Step 3: Cross multiply
   37,582x = 52,543 × 52,543
4. Step 4: Simplify right side
   37,582x = 2,760,766,849
5. Step 5: Solve for x
   x = 2,760,766,849/37,582
6. Step 6: Final answer
   x = 73,459.82