Finding the Third Proportional to 32,705 and 69,783.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,705 : 69,783.50 = 69,783.50 : x
2. Step 2: Convert to fraction form
   32,705/69,783.50 = 69,783.50/x
3. Step 3: Cross multiply
   32,705x = 69,783.50 × 69,783.50
4. Step 4: Simplify right side
   32,705x = 4,869,736,872.25
5. Step 5: Solve for x
   x = 4,869,736,872.25/32,705
6. Step 6: Final answer
   x = 148,898.85