Finding the Third Proportional to 841.50 and 1,978.88

Step by Step Solution

1. Step 1: Write the proportion equation
   841.50 : 1,978.88 = 1,978.88 : x
2. Step 2: Convert to fraction form
   841.50/1,978.88 = 1,978.88/x
3. Step 3: Cross multiply
   841.50x = 1,978.88 × 1,978.88
4. Step 4: Simplify right side
   841.50x = 3,915,946.27
5. Step 5: Solve for x
   x = 3,915,946.27/841.50
6. Step 6: Final answer
   x = 4,653.53