Finding the Third Proportional to 65,434.50 and 100,642.50

Step by Step Solution

1. Step 1: Write the proportion equation
   65,434.50 : 100,642.50 = 100,642.50 : x
2. Step 2: Convert to fraction form
   65,434.50/100,642.50 = 100,642.50/x
3. Step 3: Cross multiply
   65,434.50x = 100,642.50 × 100,642.50
4. Step 4: Simplify right side
   65,434.50x = 10,128,912,806.25
5. Step 5: Solve for x
   x = 10,128,912,806.25/65,434.50
6. Step 6: Final answer
   x = 154,794.68