Finding the Third Proportional to 9,120 and 14,422.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,120 : 14,422.50 = 14,422.50 : x
2. Step 2: Convert to fraction form
   9,120/14,422.50 = 14,422.50/x
3. Step 3: Cross multiply
   9,120x = 14,422.50 × 14,422.50
4. Step 4: Simplify right side
   9,120x = 208,008,506.25
5. Step 5: Solve for x
   x = 208,008,506.25/9,120
6. Step 6: Final answer
   x = 22,807.95