Finding the Third Proportional to 53,759.25 and 85,406.63

Step by Step Solution

1. Step 1: Write the proportion equation
   53,759.25 : 85,406.63 = 85,406.63 : x
2. Step 2: Convert to fraction form
   53,759.25/85,406.63 = 85,406.63/x
3. Step 3: Cross multiply
   53,759.25x = 85,406.63 × 85,406.63
4. Step 4: Simplify right side
   53,759.25x = 7,294,291,593.89
5. Step 5: Solve for x
   x = 7,294,291,593.89/53,759.25
6. Step 6: Final answer
   x = 135,684.40