Finding the Third Proportional to 1,566.84 and 1,796.34

Step by Step Solution

1. Step 1: Write the proportion equation
   1,566.84 : 1,796.34 = 1,796.34 : x
2. Step 2: Convert to fraction form
   1,566.84/1,796.34 = 1,796.34/x
3. Step 3: Cross multiply
   1,566.84x = 1,796.34 × 1,796.34
4. Step 4: Simplify right side
   1,566.84x = 3,226,850.87
5. Step 5: Solve for x
   x = 3,226,850.87/1,566.84
6. Step 6: Final answer
   x = 2,059.46