Finding the Third Proportional to 32,142.19 and 48,182.06

Step by Step Solution

1. Step 1: Write the proportion equation
   32,142.19 : 48,182.06 = 48,182.06 : x
2. Step 2: Convert to fraction form
   32,142.19/48,182.06 = 48,182.06/x
3. Step 3: Cross multiply
   32,142.19x = 48,182.06 × 48,182.06
4. Step 4: Simplify right side
   32,142.19x = 2,321,511,146.75
5. Step 5: Solve for x
   x = 2,321,511,146.75/32,142.19
6. Step 6: Final answer
   x = 72,226.30