Finding the Third Proportional to 53,213.06 and 82,401.56

Step by Step Solution

1. Step 1: Write the proportion equation
   53,213.06 : 82,401.56 = 82,401.56 : x
2. Step 2: Convert to fraction form
   53,213.06/82,401.56 = 82,401.56/x
3. Step 3: Cross multiply
   53,213.06x = 82,401.56 × 82,401.56
4. Step 4: Simplify right side
   53,213.06x = 6,790,017,502.44
5. Step 5: Solve for x
   x = 6,790,017,502.44/53,213.06
6. Step 6: Final answer
   x = 127,600.58