Finding the Third Proportional to 45,186 and 67,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,186 : 67,642.50 = 67,642.50 : x
2. Step 2: Convert to fraction form
   45,186/67,642.50 = 67,642.50/x
3. Step 3: Cross multiply
   45,186x = 67,642.50 × 67,642.50
4. Step 4: Simplify right side
   45,186x = 4,575,507,806.25
5. Step 5: Solve for x
   x = 4,575,507,806.25/45,186
6. Step 6: Final answer
   x = 101,259.41