Finding the Third Proportional to 45,729 and 65,191

Step by Step Solution

1. Step 1: Write the proportion equation
   45,729 : 65,191 = 65,191 : x
2. Step 2: Convert to fraction form
   45,729/65,191 = 65,191/x
3. Step 3: Cross multiply
   45,729x = 65,191 × 65,191
4. Step 4: Simplify right side
   45,729x = 4,249,866,481
5. Step 5: Solve for x
   x = 4,249,866,481/45,729
6. Step 6: Final answer
   x = 92,935.92