Finding the Third Proportional to 35,343 and 51,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,343 : 51,826.50 = 51,826.50 : x
2. Step 2: Convert to fraction form
   35,343/51,826.50 = 51,826.50/x
3. Step 3: Cross multiply
   35,343x = 51,826.50 × 51,826.50
4. Step 4: Simplify right side
   35,343x = 2,685,986,102.25
5. Step 5: Solve for x
   x = 2,685,986,102.25/35,343
6. Step 6: Final answer
   x = 75,997.68