Finding the Third Proportional to 1,116.56 and 1,634.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,116.56 : 1,634.34 = 1,634.34 : x
2. Step 2: Convert to fraction form
   1,116.56/1,634.34 = 1,634.34/x
3. Step 3: Cross multiply
   1,116.56x = 1,634.34 × 1,634.34
4. Step 4: Simplify right side
   1,116.56x = 2,671,079.49
5. Step 5: Solve for x
   x = 2,671,079.49/1,116.56
6. Step 6: Final answer
   x = 2,392.23