Finding the Third Proportional to 32,277.50 and 69,653.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,277.50 : 69,653.50 = 69,653.50 : x
2. Step 2: Convert to fraction form
   32,277.50/69,653.50 = 69,653.50/x
3. Step 3: Cross multiply
   32,277.50x = 69,653.50 × 69,653.50
4. Step 4: Simplify right side
   32,277.50x = 4,851,610,062.25
5. Step 5: Solve for x
   x = 4,851,610,062.25/32,277.50
6. Step 6: Final answer
   x = 150,309.35