Finding the Third Proportional to 34,772 and 52,134.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,772 : 52,134.25 = 52,134.25 : x
2. Step 2: Convert to fraction form
   34,772/52,134.25 = 52,134.25/x
3. Step 3: Cross multiply
   34,772x = 52,134.25 × 52,134.25
4. Step 4: Simplify right side
   34,772x = 2,717,980,023.06
5. Step 5: Solve for x
   x = 2,717,980,023.06/34,772
6. Step 6: Final answer
   x = 78,165.77