Finding the Third Proportional to 5,666.63 and 12,190.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,666.63 : 12,190.50 = 12,190.50 : x
2. Step 2: Convert to fraction form
   5,666.63/12,190.50 = 12,190.50/x
3. Step 3: Cross multiply
   5,666.63x = 12,190.50 × 12,190.50
4. Step 4: Simplify right side
   5,666.63x = 148,608,290.25
5. Step 5: Solve for x
   x = 148,608,290.25/5,666.63
6. Step 6: Final answer
   x = 26,225.19