Finding the Third Proportional to 35,234 and 77,030

Step by Step Solution

1. Step 1: Write the proportion equation
   35,234 : 77,030 = 77,030 : x
2. Step 2: Convert to fraction form
   35,234/77,030 = 77,030/x
3. Step 3: Cross multiply
   35,234x = 77,030 × 77,030
4. Step 4: Simplify right side
   35,234x = 5,933,620,900
5. Step 5: Solve for x
   x = 5,933,620,900/35,234
6. Step 6: Final answer
   x = 168,406.11