Finding the Third Proportional to 34,772 and 52,168

Step by Step Solution

1. Step 1: Write the proportion equation
   34,772 : 52,168 = 52,168 : x
2. Step 2: Convert to fraction form
   34,772/52,168 = 52,168/x
3. Step 3: Cross multiply
   34,772x = 52,168 × 52,168
4. Step 4: Simplify right side
   34,772x = 2,721,500,224
5. Step 5: Solve for x
   x = 2,721,500,224/34,772
6. Step 6: Final answer
   x = 78,267.00