Finding the Third Proportional to 53,872.50 and 85,262.63

Step by Step Solution

1. Step 1: Write the proportion equation
   53,872.50 : 85,262.63 = 85,262.63 : x
2. Step 2: Convert to fraction form
   53,872.50/85,262.63 = 85,262.63/x
3. Step 3: Cross multiply
   53,872.50x = 85,262.63 × 85,262.63
4. Step 4: Simplify right side
   53,872.50x = 7,269,715,221.89
5. Step 5: Solve for x
   x = 7,269,715,221.89/53,872.50
6. Step 6: Final answer
   x = 134,942.97