Finding the Third Proportional to 32,073 and 47,767.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,073 : 47,767.50 = 47,767.50 : x
2. Step 2: Convert to fraction form
   32,073/47,767.50 = 47,767.50/x
3. Step 3: Cross multiply
   32,073x = 47,767.50 × 47,767.50
4. Step 4: Simplify right side
   32,073x = 2,281,734,056.25
5. Step 5: Solve for x
   x = 2,281,734,056.25/32,073
6. Step 6: Final answer
   x = 71,141.90