Finding the Third Proportional to 32,810 and 77,030

Step by Step Solution

1. Step 1: Write the proportion equation
   32,810 : 77,030 = 77,030 : x
2. Step 2: Convert to fraction form
   32,810/77,030 = 77,030/x
3. Step 3: Cross multiply
   32,810x = 77,030 × 77,030
4. Step 4: Simplify right side
   32,810x = 5,933,620,900
5. Step 5: Solve for x
   x = 5,933,620,900/32,810
6. Step 6: Final answer
   x = 180,847.94