Finding the Third Proportional to 53,643.09 and 78,821.44

Step by Step Solution

1. Step 1: Write the proportion equation
   53,643.09 : 78,821.44 = 78,821.44 : x
2. Step 2: Convert to fraction form
   53,643.09/78,821.44 = 78,821.44/x
3. Step 3: Cross multiply
   53,643.09x = 78,821.44 × 78,821.44
4. Step 4: Simplify right side
   53,643.09x = 6,212,819,009.57
5. Step 5: Solve for x
   x = 6,212,819,009.57/53,643.09
6. Step 6: Final answer
   x = 115,817.69