Finding the Third Proportional to 32,907 and 52,192.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,907 : 52,192.50 = 52,192.50 : x
2. Step 2: Convert to fraction form
   32,907/52,192.50 = 52,192.50/x
3. Step 3: Cross multiply
   32,907x = 52,192.50 × 52,192.50
4. Step 4: Simplify right side
   32,907x = 2,724,057,056.25
5. Step 5: Solve for x
   x = 2,724,057,056.25/32,907
6. Step 6: Final answer
   x = 82,780.47