Finding the Third Proportional to 53,196.75 and 82,365.19

Step by Step Solution

1. Step 1: Write the proportion equation
   53,196.75 : 82,365.19 = 82,365.19 : x
2. Step 2: Convert to fraction form
   53,196.75/82,365.19 = 82,365.19/x
3. Step 3: Cross multiply
   53,196.75x = 82,365.19 × 82,365.19
4. Step 4: Simplify right side
   53,196.75x = 6,784,024,111.91
5. Step 5: Solve for x
   x = 6,784,024,111.91/53,196.75
6. Step 6: Final answer
   x = 127,527.04