Finding the Third Proportional to 37,476 and 55,645

Step by Step Solution

1. Step 1: Write the proportion equation
   37,476 : 55,645 = 55,645 : x
2. Step 2: Convert to fraction form
   37,476/55,645 = 55,645/x
3. Step 3: Cross multiply
   37,476x = 55,645 × 55,645
4. Step 4: Simplify right side
   37,476x = 3,096,366,025
5. Step 5: Solve for x
   x = 3,096,366,025/37,476
6. Step 6: Final answer
   x = 82,622.64