Finding the Third Proportional to 37,645 and 57,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,645 : 57,642 = 57,642 : x
2. Step 2: Convert to fraction form
   37,645/57,642 = 57,642/x
3. Step 3: Cross multiply
   37,645x = 57,642 × 57,642
4. Step 4: Simplify right side
   37,645x = 3,322,600,164
5. Step 5: Solve for x
   x = 3,322,600,164/37,645
6. Step 6: Final answer
   x = 88,261.39