Finding the Third Proportional to 34,762.50 and 76,059

Step by Step Solution

1. Step 1: Write the proportion equation
   34,762.50 : 76,059 = 76,059 : x
2. Step 2: Convert to fraction form
   34,762.50/76,059 = 76,059/x
3. Step 3: Cross multiply
   34,762.50x = 76,059 × 76,059
4. Step 4: Simplify right side
   34,762.50x = 5,784,971,481
5. Step 5: Solve for x
   x = 5,784,971,481/34,762.50
6. Step 6: Final answer
   x = 166,414.14