Finding the Third Proportional to 32,385 and 48,607.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,385 : 48,607.50 = 48,607.50 : x
2. Step 2: Convert to fraction form
   32,385/48,607.50 = 48,607.50/x
3. Step 3: Cross multiply
   32,385x = 48,607.50 × 48,607.50
4. Step 4: Simplify right side
   32,385x = 2,362,689,056.25
5. Step 5: Solve for x
   x = 2,362,689,056.25/32,385
6. Step 6: Final answer
   x = 72,956.28