Finding the Third Proportional to 7,695 and 10,445.63

Step by Step Solution

1. Step 1: Write the proportion equation
   7,695 : 10,445.63 = 10,445.63 : x
2. Step 2: Convert to fraction form
   7,695/10,445.63 = 10,445.63/x
3. Step 3: Cross multiply
   7,695x = 10,445.63 × 10,445.63
4. Step 4: Simplify right side
   7,695x = 109,111,081.64
5. Step 5: Solve for x
   x = 109,111,081.64/7,695
6. Step 6: Final answer
   x = 14,179.48