Finding the Third Proportional to 33,696 and 51,566.63

Step by Step Solution

1. Step 1: Write the proportion equation
   33,696 : 51,566.63 = 51,566.63 : x
2. Step 2: Convert to fraction form
   33,696/51,566.63 = 51,566.63/x
3. Step 3: Cross multiply
   33,696x = 51,566.63 × 51,566.63
4. Step 4: Simplify right side
   33,696x = 2,659,116,813.89
5. Step 5: Solve for x
   x = 2,659,116,813.89/33,696
6. Step 6: Final answer
   x = 78,914.91