Finding the Third Proportional to 34,461.75 and 53,204.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,461.75 : 53,204.25 = 53,204.25 : x
2. Step 2: Convert to fraction form
   34,461.75/53,204.25 = 53,204.25/x
3. Step 3: Cross multiply
   34,461.75x = 53,204.25 × 53,204.25
4. Step 4: Simplify right side
   34,461.75x = 2,830,692,218.06
5. Step 5: Solve for x
   x = 2,830,692,218.06/34,461.75
6. Step 6: Final answer
   x = 82,140.12