Finding the Third Proportional to 1,564.31 and 2,106.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,564.31 : 2,106.94 = 2,106.94 : x
2. Step 2: Convert to fraction form
   1,564.31/2,106.94 = 2,106.94/x
3. Step 3: Cross multiply
   1,564.31x = 2,106.94 × 2,106.94
4. Step 4: Simplify right side
   1,564.31x = 4,439,185.63
5. Step 5: Solve for x
   x = 4,439,185.63/1,564.31
6. Step 6: Final answer
   x = 2,837.79