Finding the Third Proportional to 30,194.25 and 65,582.63

Step by Step Solution

1. Step 1: Write the proportion equation
   30,194.25 : 65,582.63 = 65,582.63 : x
2. Step 2: Convert to fraction form
   30,194.25/65,582.63 = 65,582.63/x
3. Step 3: Cross multiply
   30,194.25x = 65,582.63 × 65,582.63
4. Step 4: Simplify right side
   30,194.25x = 4,301,080,701.89
5. Step 5: Solve for x
   x = 4,301,080,701.89/30,194.25
6. Step 6: Final answer
   x = 142,447.01