Finding the Third Proportional to 32,205 and 47,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,205 : 47,344.50 = 47,344.50 : x
2. Step 2: Convert to fraction form
   32,205/47,344.50 = 47,344.50/x
3. Step 3: Cross multiply
   32,205x = 47,344.50 × 47,344.50
4. Step 4: Simplify right side
   32,205x = 2,241,501,680.25
5. Step 5: Solve for x
   x = 2,241,501,680.25/32,205
6. Step 6: Final answer
   x = 69,601.05