Finding the Third Proportional to 17,546 and 37,063

Step by Step Solution

1. Step 1: Write the proportion equation
   17,546 : 37,063 = 37,063 : x
2. Step 2: Convert to fraction form
   17,546/37,063 = 37,063/x
3. Step 3: Cross multiply
   17,546x = 37,063 × 37,063
4. Step 4: Simplify right side
   17,546x = 1,373,665,969
5. Step 5: Solve for x
   x = 1,373,665,969/17,546
6. Step 6: Final answer
   x = 78,289.41