Finding the Third Proportional to 32,076 and 46,200.38

Step by Step Solution

1. Step 1: Write the proportion equation
   32,076 : 46,200.38 = 46,200.38 : x
2. Step 2: Convert to fraction form
   32,076/46,200.38 = 46,200.38/x
3. Step 3: Cross multiply
   32,076x = 46,200.38 × 46,200.38
4. Step 4: Simplify right side
   32,076x = 2,134,474,650.14
5. Step 5: Solve for x
   x = 2,134,474,650.14/32,076
6. Step 6: Final answer
   x = 66,544.29