Finding the Third Proportional to 9,471.94 and 14,706.56

Step by Step Solution

1. Step 1: Write the proportion equation
   9,471.94 : 14,706.56 = 14,706.56 : x
2. Step 2: Convert to fraction form
   9,471.94/14,706.56 = 14,706.56/x
3. Step 3: Cross multiply
   9,471.94x = 14,706.56 × 14,706.56
4. Step 4: Simplify right side
   9,471.94x = 216,282,980.57
5. Step 5: Solve for x
   x = 216,282,980.57/9,471.94
6. Step 6: Final answer
   x = 22,834.08