Finding the Third Proportional to 15,643.50 and 34,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,643.50 : 34,783.50 = 34,783.50 : x
2. Step 2: Convert to fraction form
   15,643.50/34,783.50 = 34,783.50/x
3. Step 3: Cross multiply
   15,643.50x = 34,783.50 × 34,783.50
4. Step 4: Simplify right side
   15,643.50x = 1,209,891,872.25
5. Step 5: Solve for x
   x = 1,209,891,872.25/15,643.50
6. Step 6: Final answer
   x = 77,341.51