Finding the Third Proportional to 14,853.38 and 32,577.19

Step by Step Solution

1. Step 1: Write the proportion equation
   14,853.38 : 32,577.19 = 32,577.19 : x
2. Step 2: Convert to fraction form
   14,853.38/32,577.19 = 32,577.19/x
3. Step 3: Cross multiply
   14,853.38x = 32,577.19 × 32,577.19
4. Step 4: Simplify right side
   14,853.38x = 1,061,273,145.41
5. Step 5: Solve for x
   x = 1,061,273,145.41/14,853.38
6. Step 6: Final answer
   x = 71,449.97