Finding the Third Proportional to 34,020 and 51,160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,020 : 51,160.50 = 51,160.50 : x
2. Step 2: Convert to fraction form
   34,020/51,160.50 = 51,160.50/x
3. Step 3: Cross multiply
   34,020x = 51,160.50 × 51,160.50
4. Step 4: Simplify right side
   34,020x = 2,617,396,760.25
5. Step 5: Solve for x
   x = 2,617,396,760.25/34,020
6. Step 6: Final answer
   x = 76,937.00