Finding the Third Proportional to 10,084.50 and 14,812.88

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084.50 : 14,812.88 = 14,812.88 : x
2. Step 2: Convert to fraction form
   10,084.50/14,812.88 = 14,812.88/x
3. Step 3: Cross multiply
   10,084.50x = 14,812.88 × 14,812.88
4. Step 4: Simplify right side
   10,084.50x = 219,421,265.77
5. Step 5: Solve for x
   x = 219,421,265.77/10,084.50
6. Step 6: Final answer
   x = 21,758.27