Finding the Third Proportional to 13,522.50 and 19,302.75

Step by Step Solution

1. Step 1: Write the proportion equation
   13,522.50 : 19,302.75 = 19,302.75 : x
2. Step 2: Convert to fraction form
   13,522.50/19,302.75 = 19,302.75/x
3. Step 3: Cross multiply
   13,522.50x = 19,302.75 × 19,302.75
4. Step 4: Simplify right side
   13,522.50x = 372,596,157.56
5. Step 5: Solve for x
   x = 372,596,157.56/13,522.50
6. Step 6: Final answer
   x = 27,553.79