Finding the Third Proportional to 34,530 and 75,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,530 : 75,646.50 = 75,646.50 : x
2. Step 2: Convert to fraction form
   34,530/75,646.50 = 75,646.50/x
3. Step 3: Cross multiply
   34,530x = 75,646.50 × 75,646.50
4. Step 4: Simplify right side
   34,530x = 5,722,392,962.25
5. Step 5: Solve for x
   x = 5,722,392,962.25/34,530
6. Step 6: Final answer
   x = 165,722.36