Finding the Third Proportional to 37,730 and 51,059

Step by Step Solution

1. Step 1: Write the proportion equation
   37,730 : 51,059 = 51,059 : x
2. Step 2: Convert to fraction form
   37,730/51,059 = 51,059/x
3. Step 3: Cross multiply
   37,730x = 51,059 × 51,059
4. Step 4: Simplify right side
   37,730x = 2,607,021,481
5. Step 5: Solve for x
   x = 2,607,021,481/37,730
6. Step 6: Final answer
   x = 69,096.78