Finding the Third Proportional to 53,575.50 and 102,291

Step by Step Solution

1. Step 1: Write the proportion equation
   53,575.50 : 102,291 = 102,291 : x
2. Step 2: Convert to fraction form
   53,575.50/102,291 = 102,291/x
3. Step 3: Cross multiply
   53,575.50x = 102,291 × 102,291
4. Step 4: Simplify right side
   53,575.50x = 10,463,448,681
5. Step 5: Solve for x
   x = 10,463,448,681/53,575.50
6. Step 6: Final answer
   x = 195,302.87