Finding the Third Proportional to 32,311 and 47,401.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,311 : 47,401.50 = 47,401.50 : x
2. Step 2: Convert to fraction form
   32,311/47,401.50 = 47,401.50/x
3. Step 3: Cross multiply
   32,311x = 47,401.50 × 47,401.50
4. Step 4: Simplify right side
   32,311x = 2,246,902,202.25
5. Step 5: Solve for x
   x = 2,246,902,202.25/32,311
6. Step 6: Final answer
   x = 69,539.85