Finding the Third Proportional to 1,684.50 and 2,666.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,684.50 : 2,666.06 = 2,666.06 : x
2. Step 2: Convert to fraction form
   1,684.50/2,666.06 = 2,666.06/x
3. Step 3: Cross multiply
   1,684.50x = 2,666.06 × 2,666.06
4. Step 4: Simplify right side
   1,684.50x = 7,107,889.25
5. Step 5: Solve for x
   x = 7,107,889.25/1,684.50
6. Step 6: Final answer
   x = 4,219.58