Finding the Third Proportional to 37,970 and 75,895

Step by Step Solution

1. Step 1: Write the proportion equation
   37,970 : 75,895 = 75,895 : x
2. Step 2: Convert to fraction form
   37,970/75,895 = 75,895/x
3. Step 3: Cross multiply
   37,970x = 75,895 × 75,895
4. Step 4: Simplify right side
   37,970x = 5,760,051,025
5. Step 5: Solve for x
   x = 5,760,051,025/37,970
6. Step 6: Final answer
   x = 151,700.05