Finding the Third Proportional to 34,769 and 74,780

Step by Step Solution

1. Step 1: Write the proportion equation
   34,769 : 74,780 = 74,780 : x
2. Step 2: Convert to fraction form
   34,769/74,780 = 74,780/x
3. Step 3: Cross multiply
   34,769x = 74,780 × 74,780
4. Step 4: Simplify right side
   34,769x = 5,592,048,400
5. Step 5: Solve for x
   x = 5,592,048,400/34,769
6. Step 6: Final answer
   x = 160,834.32