Finding the Third Proportional to 34,840 and 52,584

Step by Step Solution

1. Step 1: Write the proportion equation
   34,840 : 52,584 = 52,584 : x
2. Step 2: Convert to fraction form
   34,840/52,584 = 52,584/x
3. Step 3: Cross multiply
   34,840x = 52,584 × 52,584
4. Step 4: Simplify right side
   34,840x = 2,765,077,056
5. Step 5: Solve for x
   x = 2,765,077,056/34,840
6. Step 6: Final answer
   x = 79,365.01