Finding the Third Proportional to 32,746 and 49,310.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,746 : 49,310.50 = 49,310.50 : x
2. Step 2: Convert to fraction form
   32,746/49,310.50 = 49,310.50/x
3. Step 3: Cross multiply
   32,746x = 49,310.50 × 49,310.50
4. Step 4: Simplify right side
   32,746x = 2,431,525,410.25
5. Step 5: Solve for x
   x = 2,431,525,410.25/32,746
6. Step 6: Final answer
   x = 74,254.12