Finding the Third Proportional to 824.63 and 1,970.72

Step by Step Solution

1. Step 1: Write the proportion equation
   824.63 : 1,970.72 = 1,970.72 : x
2. Step 2: Convert to fraction form
   824.63/1,970.72 = 1,970.72/x
3. Step 3: Cross multiply
   824.63x = 1,970.72 × 1,970.72
4. Step 4: Simplify right side
   824.63x = 3,883,732.39
5. Step 5: Solve for x
   x = 3,883,732.39/824.63
6. Step 6: Final answer
   x = 4,709.70