Finding the Third Proportional to 5,091.61 and 10,695.80

Step by Step Solution

1. Step 1: Write the proportion equation
   5,091.61 : 10,695.80 = 10,695.80 : x
2. Step 2: Convert to fraction form
   5,091.61/10,695.80 = 10,695.80/x
3. Step 3: Cross multiply
   5,091.61x = 10,695.80 × 10,695.80
4. Step 4: Simplify right side
   5,091.61x = 114,400,070.79
5. Step 5: Solve for x
   x = 114,400,070.79/5,091.61
6. Step 6: Final answer
   x = 22,468.35