Finding the Third Proportional to 2,194.59 and 4,784.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,194.59 : 4,784.06 = 4,784.06 : x
2. Step 2: Convert to fraction form
   2,194.59/4,784.06 = 4,784.06/x
3. Step 3: Cross multiply
   2,194.59x = 4,784.06 × 4,784.06
4. Step 4: Simplify right side
   2,194.59x = 22,887,254.00
5. Step 5: Solve for x
   x = 22,887,254.00/2,194.59
6. Step 6: Final answer
   x = 10,428.93