Finding the Third Proportional to 34,726 and 53,530

Step by Step Solution

1. Step 1: Write the proportion equation
   34,726 : 53,530 = 53,530 : x
2. Step 2: Convert to fraction form
   34,726/53,530 = 53,530/x
3. Step 3: Cross multiply
   34,726x = 53,530 × 53,530
4. Step 4: Simplify right side
   34,726x = 2,865,460,900
5. Step 5: Solve for x
   x = 2,865,460,900/34,726
6. Step 6: Final answer
   x = 82,516.30