Finding the Third Proportional to 32,071 and 47,764.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,071 : 47,764.50 = 47,764.50 : x
2. Step 2: Convert to fraction form
   32,071/47,764.50 = 47,764.50/x
3. Step 3: Cross multiply
   32,071x = 47,764.50 × 47,764.50
4. Step 4: Simplify right side
   32,071x = 2,281,447,460.25
5. Step 5: Solve for x
   x = 2,281,447,460.25/32,071
6. Step 6: Final answer
   x = 71,137.40