Finding the Third Proportional to 1,766.25 and 3,731.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766.25 : 3,731.63 = 3,731.63 : x
2. Step 2: Convert to fraction form
   1,766.25/3,731.63 = 3,731.63/x
3. Step 3: Cross multiply
   1,766.25x = 3,731.63 × 3,731.63
4. Step 4: Simplify right side
   1,766.25x = 13,925,025.14
5. Step 5: Solve for x
   x = 13,925,025.14/1,766.25
6. Step 6: Final answer
   x = 7,883.95