Finding the Third Proportional to 32,302 and 47,389.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,302 : 47,389.50 = 47,389.50 : x
2. Step 2: Convert to fraction form
   32,302/47,389.50 = 47,389.50/x
3. Step 3: Cross multiply
   32,302x = 47,389.50 × 47,389.50
4. Step 4: Simplify right side
   32,302x = 2,245,764,710.25
5. Step 5: Solve for x
   x = 2,245,764,710.25/32,302
6. Step 6: Final answer
   x = 69,524.01