Finding the Third Proportional to 37,860 and 53,089

Step by Step Solution

1. Step 1: Write the proportion equation
   37,860 : 53,089 = 53,089 : x
2. Step 2: Convert to fraction form
   37,860/53,089 = 53,089/x
3. Step 3: Cross multiply
   37,860x = 53,089 × 53,089
4. Step 4: Simplify right side
   37,860x = 2,818,441,921
5. Step 5: Solve for x
   x = 2,818,441,921/37,860
6. Step 6: Final answer
   x = 74,443.79