Finding the Third Proportional to 1,011.50 and 1,366.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,011.50 : 1,366.63 = 1,366.63 : x
2. Step 2: Convert to fraction form
   1,011.50/1,366.63 = 1,366.63/x
3. Step 3: Cross multiply
   1,011.50x = 1,366.63 × 1,366.63
4. Step 4: Simplify right side
   1,011.50x = 1,867,663.89
5. Step 5: Solve for x
   x = 1,867,663.89/1,011.50
6. Step 6: Final answer
   x = 1,846.43