Finding the Third Proportional to 53,649 and 77,377.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,649 : 77,377.50 = 77,377.50 : x
2. Step 2: Convert to fraction form
   53,649/77,377.50 = 77,377.50/x
3. Step 3: Cross multiply
   53,649x = 77,377.50 × 77,377.50
4. Step 4: Simplify right side
   53,649x = 5,987,277,506.25
5. Step 5: Solve for x
   x = 5,987,277,506.25/53,649
6. Step 6: Final answer
   x = 111,600.92