Finding the Third Proportional to 1,907.46 and 4,102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   1,907.46 : 4,102.52 = 4,102.52 : x
2. Step 2: Convert to fraction form
   1,907.46/4,102.52 = 4,102.52/x
3. Step 3: Cross multiply
   1,907.46x = 4,102.52 × 4,102.52
4. Step 4: Simplify right side
   1,907.46x = 16,830,698.56
5. Step 5: Solve for x
   x = 16,830,698.56/1,907.46
6. Step 6: Final answer
   x = 8,823.64