Finding the Third Proportional to 17,830.13 and 38,412.56

Step by Step Solution

1. Step 1: Write the proportion equation
   17,830.13 : 38,412.56 = 38,412.56 : x
2. Step 2: Convert to fraction form
   17,830.13/38,412.56 = 38,412.56/x
3. Step 3: Cross multiply
   17,830.13x = 38,412.56 × 38,412.56
4. Step 4: Simplify right side
   17,830.13x = 1,475,524,957.82
5. Step 5: Solve for x
   x = 1,475,524,957.82/17,830.13
6. Step 6: Final answer
   x = 82,754.61