Finding the Third Proportional to 34,306 and 51,541.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,306 : 51,541.50 = 51,541.50 : x
2. Step 2: Convert to fraction form
   34,306/51,541.50 = 51,541.50/x
3. Step 3: Cross multiply
   34,306x = 51,541.50 × 51,541.50
4. Step 4: Simplify right side
   34,306x = 2,656,526,222.25
5. Step 5: Solve for x
   x = 2,656,526,222.25/34,306
6. Step 6: Final answer
   x = 77,436.20