Finding the Third Proportional to 53,491.50 and 76,405.50

Step by Step Solution

1. Step 1: Write the proportion equation
   53,491.50 : 76,405.50 = 76,405.50 : x
2. Step 2: Convert to fraction form
   53,491.50/76,405.50 = 76,405.50/x
3. Step 3: Cross multiply
   53,491.50x = 76,405.50 × 76,405.50
4. Step 4: Simplify right side
   53,491.50x = 5,837,800,430.25
5. Step 5: Solve for x
   x = 5,837,800,430.25/53,491.50
6. Step 6: Final answer
   x = 109,135.10