Finding the Third Proportional to 34,866 and 52,074

Step by Step Solution

1. Step 1: Write the proportion equation
   34,866 : 52,074 = 52,074 : x
2. Step 2: Convert to fraction form
   34,866/52,074 = 52,074/x
3. Step 3: Cross multiply
   34,866x = 52,074 × 52,074
4. Step 4: Simplify right side
   34,866x = 2,711,701,476
5. Step 5: Solve for x
   x = 2,711,701,476/34,866
6. Step 6: Final answer
   x = 77,774.95