Finding the Third Proportional to 53,756.75 and 75,186.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,756.75 : 75,186.50 = 75,186.50 : x
2. Step 2: Convert to fraction form
   53,756.75/75,186.50 = 75,186.50/x
3. Step 3: Cross multiply
   53,756.75x = 75,186.50 × 75,186.50
4. Step 4: Simplify right side
   53,756.75x = 5,653,009,782.25
5. Step 5: Solve for x
   x = 5,653,009,782.25/53,756.75
6. Step 6: Final answer
   x = 105,159.07