Finding the Third Proportional to 34,758.50 and 76,284.75

Step by Step Solution

1. Step 1: Write the proportion equation
   34,758.50 : 76,284.75 = 76,284.75 : x
2. Step 2: Convert to fraction form
   34,758.50/76,284.75 = 76,284.75/x
3. Step 3: Cross multiply
   34,758.50x = 76,284.75 × 76,284.75
4. Step 4: Simplify right side
   34,758.50x = 5,819,363,082.56
5. Step 5: Solve for x
   x = 5,819,363,082.56/34,758.50
6. Step 6: Final answer
   x = 167,422.73