Finding the Third Proportional to 37,914 and 81,642

Step by Step Solution

1. Step 1: Write the proportion equation
   37,914 : 81,642 = 81,642 : x
2. Step 2: Convert to fraction form
   37,914/81,642 = 81,642/x
3. Step 3: Cross multiply
   37,914x = 81,642 × 81,642
4. Step 4: Simplify right side
   37,914x = 6,665,416,164
5. Step 5: Solve for x
   x = 6,665,416,164/37,914
6. Step 6: Final answer
   x = 175,803.56