Finding the Third Proportional to 32,696 and 51,838.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,696 : 51,838.50 = 51,838.50 : x
2. Step 2: Convert to fraction form
   32,696/51,838.50 = 51,838.50/x
3. Step 3: Cross multiply
   32,696x = 51,838.50 × 51,838.50
4. Step 4: Simplify right side
   32,696x = 2,687,230,082.25
5. Step 5: Solve for x
   x = 2,687,230,082.25/32,696
6. Step 6: Final answer
   x = 82,188.34