Finding the Third Proportional to 37,413 and 75,870

Step by Step Solution

1. Step 1: Write the proportion equation
   37,413 : 75,870 = 75,870 : x
2. Step 2: Convert to fraction form
   37,413/75,870 = 75,870/x
3. Step 3: Cross multiply
   37,413x = 75,870 × 75,870
4. Step 4: Simplify right side
   37,413x = 5,756,256,900
5. Step 5: Solve for x
   x = 5,756,256,900/37,413
6. Step 6: Final answer
   x = 153,857.13