Finding the Third Proportional to 30,184.13 and 65,557.31

Step by Step Solution

1. Step 1: Write the proportion equation
   30,184.13 : 65,557.31 = 65,557.31 : x
2. Step 2: Convert to fraction form
   30,184.13/65,557.31 = 65,557.31/x
3. Step 3: Cross multiply
   30,184.13x = 65,557.31 × 65,557.31
4. Step 4: Simplify right side
   30,184.13x = 4,297,761,222.22
5. Step 5: Solve for x
   x = 4,297,761,222.22/30,184.13
6. Step 6: Final answer
   x = 142,384.82