Finding the Third Proportional to 34,186.50 and 51,736.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,186.50 : 51,736.25 = 51,736.25 : x
2. Step 2: Convert to fraction form
   34,186.50/51,736.25 = 51,736.25/x
3. Step 3: Cross multiply
   34,186.50x = 51,736.25 × 51,736.25
4. Step 4: Simplify right side
   34,186.50x = 2,676,639,564.06
5. Step 5: Solve for x
   x = 2,676,639,564.06/34,186.50
6. Step 6: Final answer
   x = 78,295.22