Finding the Third Proportional to 9,851.63 and 14,779.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,851.63 : 14,779.69 = 14,779.69 : x
2. Step 2: Convert to fraction form
   9,851.63/14,779.69 = 14,779.69/x
3. Step 3: Cross multiply
   9,851.63x = 14,779.69 × 14,779.69
4. Step 4: Simplify right side
   9,851.63x = 218,439,162.60
5. Step 5: Solve for x
   x = 218,439,162.60/9,851.63
6. Step 6: Final answer
   x = 22,172.91