Finding the Third Proportional to 53,460 and 84,647.53

Step by Step Solution

1. Step 1: Write the proportion equation
   53,460 : 84,647.53 = 84,647.53 : x
2. Step 2: Convert to fraction form
   53,460/84,647.53 = 84,647.53/x
3. Step 3: Cross multiply
   53,460x = 84,647.53 × 84,647.53
4. Step 4: Simplify right side
   53,460x = 7,165,204,546.72
5. Step 5: Solve for x
   x = 7,165,204,546.72/53,460
6. Step 6: Final answer
   x = 134,029.27