Finding the Third Proportional to 17,865 and 37,754

Step by Step Solution

1. Step 1: Write the proportion equation
   17,865 : 37,754 = 37,754 : x
2. Step 2: Convert to fraction form
   17,865/37,754 = 37,754/x
3. Step 3: Cross multiply
   17,865x = 37,754 × 37,754
4. Step 4: Simplify right side
   17,865x = 1,425,364,516
5. Step 5: Solve for x
   x = 1,425,364,516/17,865
6. Step 6: Final answer
   x = 79,785.31