Finding the Third Proportional to 32,818 and 77,130

Step by Step Solution

1. Step 1: Write the proportion equation
   32,818 : 77,130 = 77,130 : x
2. Step 2: Convert to fraction form
   32,818/77,130 = 77,130/x
3. Step 3: Cross multiply
   32,818x = 77,130 × 77,130
4. Step 4: Simplify right side
   32,818x = 5,949,036,900
5. Step 5: Solve for x
   x = 5,949,036,900/32,818
6. Step 6: Final answer
   x = 181,273.60