Finding the Third Proportional to 32,997 and 49,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,997 : 49,777.50 = 49,777.50 : x
2. Step 2: Convert to fraction form
   32,997/49,777.50 = 49,777.50/x
3. Step 3: Cross multiply
   32,997x = 49,777.50 × 49,777.50
4. Step 4: Simplify right side
   32,997x = 2,477,799,506.25
5. Step 5: Solve for x
   x = 2,477,799,506.25/32,997
6. Step 6: Final answer
   x = 75,091.66