Finding the Third Proportional to 34,834 and 53,066

Step by Step Solution

1. Step 1: Write the proportion equation
   34,834 : 53,066 = 53,066 : x
2. Step 2: Convert to fraction form
   34,834/53,066 = 53,066/x
3. Step 3: Cross multiply
   34,834x = 53,066 × 53,066
4. Step 4: Simplify right side
   34,834x = 2,816,000,356
5. Step 5: Solve for x
   x = 2,816,000,356/34,834
6. Step 6: Final answer
   x = 80,840.57