Finding the Third Proportional to 17,825.50 and 27,588.75

Step by Step Solution

1. Step 1: Write the proportion equation
   17,825.50 : 27,588.75 = 27,588.75 : x
2. Step 2: Convert to fraction form
   17,825.50/27,588.75 = 27,588.75/x
3. Step 3: Cross multiply
   17,825.50x = 27,588.75 × 27,588.75
4. Step 4: Simplify right side
   17,825.50x = 761,139,126.56
5. Step 5: Solve for x
   x = 761,139,126.56/17,825.50
6. Step 6: Final answer
   x = 42,699.45