Finding the Third Proportional to 32,339 and 45,646

Step by Step Solution

1. Step 1: Write the proportion equation
   32,339 : 45,646 = 45,646 : x
2. Step 2: Convert to fraction form
   32,339/45,646 = 45,646/x
3. Step 3: Cross multiply
   32,339x = 45,646 × 45,646
4. Step 4: Simplify right side
   32,339x = 2,083,557,316
5. Step 5: Solve for x
   x = 2,083,557,316/32,339
6. Step 6: Final answer
   x = 64,428.63