Finding the Third Proportional to 9,135 and 21,109.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,135 : 21,109.50 = 21,109.50 : x
2. Step 2: Convert to fraction form
   9,135/21,109.50 = 21,109.50/x
3. Step 3: Cross multiply
   9,135x = 21,109.50 × 21,109.50
4. Step 4: Simplify right side
   9,135x = 445,610,990.25
5. Step 5: Solve for x
   x = 445,610,990.25/9,135
6. Step 6: Final answer
   x = 48,780.62