Finding the Third Proportional to 37,582 and 49,429

Step by Step Solution

1. Step 1: Write the proportion equation
   37,582 : 49,429 = 49,429 : x
2. Step 2: Convert to fraction form
   37,582/49,429 = 49,429/x
3. Step 3: Cross multiply
   37,582x = 49,429 × 49,429
4. Step 4: Simplify right side
   37,582x = 2,443,226,041
5. Step 5: Solve for x
   x = 2,443,226,041/37,582
6. Step 6: Final answer
   x = 65,010.54