Finding the Third Proportional to 9,150 and 19,725

Step by Step Solution

1. Step 1: Write the proportion equation
   9,150 : 19,725 = 19,725 : x
2. Step 2: Convert to fraction form
   9,150/19,725 = 19,725/x
3. Step 3: Cross multiply
   9,150x = 19,725 × 19,725
4. Step 4: Simplify right side
   9,150x = 389,075,625
5. Step 5: Solve for x
   x = 389,075,625/9,150
6. Step 6: Final answer
   x = 42,521.93