Finding the Third Proportional to 1,985.63 and 2,978.16

Step by Step Solution

1. Step 1: Write the proportion equation
   1,985.63 : 2,978.16 = 2,978.16 : x
2. Step 2: Convert to fraction form
   1,985.63/2,978.16 = 2,978.16/x
3. Step 3: Cross multiply
   1,985.63x = 2,978.16 × 2,978.16
4. Step 4: Simplify right side
   1,985.63x = 8,869,414.65
5. Step 5: Solve for x
   x = 8,869,414.65/1,985.63
6. Step 6: Final answer
   x = 4,466.81