Finding the Third Proportional to 53,497.50 and 77,107.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,497.50 : 77,107.50 = 77,107.50 : x
2. Step 2: Convert to fraction form
   53,497.50/77,107.50 = 77,107.50/x
3. Step 3: Cross multiply
   53,497.50x = 77,107.50 × 77,107.50
4. Step 4: Simplify right side
   53,497.50x = 5,945,566,556.25
5. Step 5: Solve for x
   x = 5,945,566,556.25/53,497.50
6. Step 6: Final answer
   x = 111,137.28