Finding the Third Proportional to 35,649 and 49,842.25

Step by Step Solution

1. Step 1: Write the proportion equation
   35,649 : 49,842.25 = 49,842.25 : x
2. Step 2: Convert to fraction form
   35,649/49,842.25 = 49,842.25/x
3. Step 3: Cross multiply
   35,649x = 49,842.25 × 49,842.25
4. Step 4: Simplify right side
   35,649x = 2,484,249,885.06
5. Step 5: Solve for x
   x = 2,484,249,885.06/35,649
6. Step 6: Final answer
   x = 69,686.38