Finding the Third Proportional to 17,832 and 27,596.50

Step by Step Solution

1. Step 1: Write the proportion equation
   17,832 : 27,596.50 = 27,596.50 : x
2. Step 2: Convert to fraction form
   17,832/27,596.50 = 27,596.50/x
3. Step 3: Cross multiply
   17,832x = 27,596.50 × 27,596.50
4. Step 4: Simplify right side
   17,832x = 761,566,812.25
5. Step 5: Solve for x
   x = 761,566,812.25/17,832
6. Step 6: Final answer
   x = 42,707.87