Finding the Third Proportional to 37,642 and 83,588

Step by Step Solution

1. Step 1: Write the proportion equation
   37,642 : 83,588 = 83,588 : x
2. Step 2: Convert to fraction form
   37,642/83,588 = 83,588/x
3. Step 3: Cross multiply
   37,642x = 83,588 × 83,588
4. Step 4: Simplify right side
   37,642x = 6,986,953,744
5. Step 5: Solve for x
   x = 6,986,953,744/37,642
6. Step 6: Final answer
   x = 185,615.90