Finding the Third Proportional to 32,103 and 47,020.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,103 : 47,020.50 = 47,020.50 : x
2. Step 2: Convert to fraction form
   32,103/47,020.50 = 47,020.50/x
3. Step 3: Cross multiply
   32,103x = 47,020.50 × 47,020.50
4. Step 4: Simplify right side
   32,103x = 2,210,927,420.25
5. Step 5: Solve for x
   x = 2,210,927,420.25/32,103
6. Step 6: Final answer
   x = 68,869.81