Finding the Third Proportional to 47,643.75 and 100,570.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,643.75 : 100,570.50 = 100,570.50 : x
2. Step 2: Convert to fraction form
   47,643.75/100,570.50 = 100,570.50/x
3. Step 3: Cross multiply
   47,643.75x = 100,570.50 × 100,570.50
4. Step 4: Simplify right side
   47,643.75x = 10,114,425,470.25
5. Step 5: Solve for x
   x = 10,114,425,470.25/47,643.75
6. Step 6: Final answer
   x = 212,292.81