Finding the Third Proportional to 32,866 and 52,109

Step by Step Solution

1. Step 1: Write the proportion equation
   32,866 : 52,109 = 52,109 : x
2. Step 2: Convert to fraction form
   32,866/52,109 = 52,109/x
3. Step 3: Cross multiply
   32,866x = 52,109 × 52,109
4. Step 4: Simplify right side
   32,866x = 2,715,347,881
5. Step 5: Solve for x
   x = 2,715,347,881/32,866
6. Step 6: Final answer
   x = 82,618.75