Finding the Third Proportional to 34,549.50 and 51,826.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,549.50 : 51,826.50 = 51,826.50 : x
2. Step 2: Convert to fraction form
   34,549.50/51,826.50 = 51,826.50/x
3. Step 3: Cross multiply
   34,549.50x = 51,826.50 × 51,826.50
4. Step 4: Simplify right side
   34,549.50x = 2,685,986,102.25
5. Step 5: Solve for x
   x = 2,685,986,102.25/34,549.50
6. Step 6: Final answer
   x = 77,743.13