Finding the Third Proportional to 1,004.63 and 2,191.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,004.63 : 2,191.50 = 2,191.50 : x
2. Step 2: Convert to fraction form
   1,004.63/2,191.50 = 2,191.50/x
3. Step 3: Cross multiply
   1,004.63x = 2,191.50 × 2,191.50
4. Step 4: Simplify right side
   1,004.63x = 4,802,672.25
5. Step 5: Solve for x
   x = 4,802,672.25/1,004.63
6. Step 6: Final answer
   x = 4,780.56