Finding the Third Proportional to 34,604 and 53,390

Step by Step Solution

1. Step 1: Write the proportion equation
   34,604 : 53,390 = 53,390 : x
2. Step 2: Convert to fraction form
   34,604/53,390 = 53,390/x
3. Step 3: Cross multiply
   34,604x = 53,390 × 53,390
4. Step 4: Simplify right side
   34,604x = 2,850,492,100
5. Step 5: Solve for x
   x = 2,850,492,100/34,604
6. Step 6: Final answer
   x = 82,374.64