Finding the Third Proportional to 17,538 and 37,878

Step by Step Solution

1. Step 1: Write the proportion equation
   17,538 : 37,878 = 37,878 : x
2. Step 2: Convert to fraction form
   17,538/37,878 = 37,878/x
3. Step 3: Cross multiply
   17,538x = 37,878 × 37,878
4. Step 4: Simplify right side
   17,538x = 1,434,742,884
5. Step 5: Solve for x
   x = 1,434,742,884/17,538
6. Step 6: Final answer
   x = 81,807.67