Finding the Third Proportional to 1,269.56 and 1,364.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,269.56 : 1,364.06 = 1,364.06 : x
2. Step 2: Convert to fraction form
   1,269.56/1,364.06 = 1,364.06/x
3. Step 3: Cross multiply
   1,269.56x = 1,364.06 × 1,364.06
4. Step 4: Simplify right side
   1,269.56x = 1,860,666.50
5. Step 5: Solve for x
   x = 1,860,666.50/1,269.56
6. Step 6: Final answer
   x = 1,465.60