Finding the Third Proportional to 1,701.84 and 3,634.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,701.84 : 3,634.59 = 3,634.59 : x
2. Step 2: Convert to fraction form
   1,701.84/3,634.59 = 3,634.59/x
3. Step 3: Cross multiply
   1,701.84x = 3,634.59 × 3,634.59
4. Step 4: Simplify right side
   1,701.84x = 13,210,271.73
5. Step 5: Solve for x
   x = 13,210,271.73/1,701.84
6. Step 6: Final answer
   x = 7,762.33