Finding the Third Proportional to 1,307.81 and 2,706.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,307.81 : 2,706.75 = 2,706.75 : x
2. Step 2: Convert to fraction form
   1,307.81/2,706.75 = 2,706.75/x
3. Step 3: Cross multiply
   1,307.81x = 2,706.75 × 2,706.75
4. Step 4: Simplify right side
   1,307.81x = 7,326,495.56
5. Step 5: Solve for x
   x = 7,326,495.56/1,307.81
6. Step 6: Final answer
   x = 5,602.10