Finding the Third Proportional to 53,978.06 and 85,407.75

Step by Step Solution

1. Step 1: Write the proportion equation
   53,978.06 : 85,407.75 = 85,407.75 : x
2. Step 2: Convert to fraction form
   53,978.06/85,407.75 = 85,407.75/x
3. Step 3: Cross multiply
   53,978.06x = 85,407.75 × 85,407.75
4. Step 4: Simplify right side
   53,978.06x = 7,294,483,760.06
5. Step 5: Solve for x
   x = 7,294,483,760.06/53,978.06
6. Step 6: Final answer
   x = 135,137.93