Finding the Third Proportional to 34,506 and 52,028

Step by Step Solution

1. Step 1: Write the proportion equation
   34,506 : 52,028 = 52,028 : x
2. Step 2: Convert to fraction form
   34,506/52,028 = 52,028/x
3. Step 3: Cross multiply
   34,506x = 52,028 × 52,028
4. Step 4: Simplify right side
   34,506x = 2,706,912,784
5. Step 5: Solve for x
   x = 2,706,912,784/34,506
6. Step 6: Final answer
   x = 78,447.60