Finding the Third Proportional to 61,643.50 and 78,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   61,643.50 : 78,769.50 = 78,769.50 : x
2. Step 2: Convert to fraction form
   61,643.50/78,769.50 = 78,769.50/x
3. Step 3: Cross multiply
   61,643.50x = 78,769.50 × 78,769.50
4. Step 4: Simplify right side
   61,643.50x = 6,204,634,130.25
5. Step 5: Solve for x
   x = 6,204,634,130.25/61,643.50
6. Step 6: Final answer
   x = 100,653.50