Finding the Third Proportional to 47,419 and 63,636.50

Step by Step Solution

1. Step 1: Write the proportion equation
   47,419 : 63,636.50 = 63,636.50 : x
2. Step 2: Convert to fraction form
   47,419/63,636.50 = 63,636.50/x
3. Step 3: Cross multiply
   47,419x = 63,636.50 × 63,636.50
4. Step 4: Simplify right side
   47,419x = 4,049,604,132.25
5. Step 5: Solve for x
   x = 4,049,604,132.25/47,419
6. Step 6: Final answer
   x = 85,400.45