Finding the Third Proportional to 17,478.50 and 37,873

Step by Step Solution

1. Step 1: Write the proportion equation
   17,478.50 : 37,873 = 37,873 : x
2. Step 2: Convert to fraction form
   17,478.50/37,873 = 37,873/x
3. Step 3: Cross multiply
   17,478.50x = 37,873 × 37,873
4. Step 4: Simplify right side
   17,478.50x = 1,434,364,129
5. Step 5: Solve for x
   x = 1,434,364,129/17,478.50
6. Step 6: Final answer
   x = 82,064.49