Finding the Third Proportional to 34,780 and 52,333

Step by Step Solution

1. Step 1: Write the proportion equation
   34,780 : 52,333 = 52,333 : x
2. Step 2: Convert to fraction form
   34,780/52,333 = 52,333/x
3. Step 3: Cross multiply
   34,780x = 52,333 × 52,333
4. Step 4: Simplify right side
   34,780x = 2,738,742,889
5. Step 5: Solve for x
   x = 2,738,742,889/34,780
6. Step 6: Final answer
   x = 78,744.76