Finding the Third Proportional to 17,458 and 37,952.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,458 : 37,952.50 = 37,952.50 : x
2. Step 2: Convert to fraction form
   17,458/37,952.50 = 37,952.50/x
3. Step 3: Cross multiply
   17,458x = 37,952.50 × 37,952.50
4. Step 4: Simplify right side
   17,458x = 1,440,392,256.25
5. Step 5: Solve for x
   x = 1,440,392,256.25/17,458
6. Step 6: Final answer
   x = 82,506.14