Finding the Third Proportional to 764.63 and 1,093.69

Step by Step Solution

1. Step 1: Write the proportion equation
   764.63 : 1,093.69 = 1,093.69 : x
2. Step 2: Convert to fraction form
   764.63/1,093.69 = 1,093.69/x
3. Step 3: Cross multiply
   764.63x = 1,093.69 × 1,093.69
4. Step 4: Simplify right side
   764.63x = 1,196,152.35
5. Step 5: Solve for x
   x = 1,196,152.35/764.63
6. Step 6: Final answer
   x = 1,564.36