Finding the Third Proportional to 34,816 and 52,071

Step by Step Solution

1. Step 1: Write the proportion equation
   34,816 : 52,071 = 52,071 : x
2. Step 2: Convert to fraction form
   34,816/52,071 = 52,071/x
3. Step 3: Cross multiply
   34,816x = 52,071 × 52,071
4. Step 4: Simplify right side
   34,816x = 2,711,389,041
5. Step 5: Solve for x
   x = 2,711,389,041/34,816
6. Step 6: Final answer
   x = 77,877.67