Finding the Third Proportional to 33,577 and 49,437.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,577 : 49,437.50 = 49,437.50 : x
2. Step 2: Convert to fraction form
   33,577/49,437.50 = 49,437.50/x
3. Step 3: Cross multiply
   33,577x = 49,437.50 × 49,437.50
4. Step 4: Simplify right side
   33,577x = 2,444,066,406.25
5. Step 5: Solve for x
   x = 2,444,066,406.25/33,577
6. Step 6: Final answer
   x = 72,789.90