Finding the Third Proportional to 17,428.50 and 38,009.25

Step by Step Solution

1. Step 1: Write the proportion equation
   17,428.50 : 38,009.25 = 38,009.25 : x
2. Step 2: Convert to fraction form
   17,428.50/38,009.25 = 38,009.25/x
3. Step 3: Cross multiply
   17,428.50x = 38,009.25 × 38,009.25
4. Step 4: Simplify right side
   17,428.50x = 1,444,703,085.56
5. Step 5: Solve for x
   x = 1,444,703,085.56/17,428.50
6. Step 6: Final answer
   x = 82,893.14