Finding the Third Proportional to 34,200 and 51,158.25

Step by Step Solution

1. Step 1: Write the proportion equation
   34,200 : 51,158.25 = 51,158.25 : x
2. Step 2: Convert to fraction form
   34,200/51,158.25 = 51,158.25/x
3. Step 3: Cross multiply
   34,200x = 51,158.25 × 51,158.25
4. Step 4: Simplify right side
   34,200x = 2,617,166,543.06
5. Step 5: Solve for x
   x = 2,617,166,543.06/34,200
6. Step 6: Final answer
   x = 76,525.34