Finding the Third Proportional to 32,878 and 46,521.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,878 : 46,521.50 = 46,521.50 : x
2. Step 2: Convert to fraction form
   32,878/46,521.50 = 46,521.50/x
3. Step 3: Cross multiply
   32,878x = 46,521.50 × 46,521.50
4. Step 4: Simplify right side
   32,878x = 2,164,249,962.25
5. Step 5: Solve for x
   x = 2,164,249,962.25/32,878
6. Step 6: Final answer
   x = 65,826.69