Finding the Third Proportional to 34,798.50 and 75,870

Step by Step Solution

1. Step 1: Write the proportion equation
   34,798.50 : 75,870 = 75,870 : x
2. Step 2: Convert to fraction form
   34,798.50/75,870 = 75,870/x
3. Step 3: Cross multiply
   34,798.50x = 75,870 × 75,870
4. Step 4: Simplify right side
   34,798.50x = 5,756,256,900
5. Step 5: Solve for x
   x = 5,756,256,900/34,798.50
6. Step 6: Final answer
   x = 165,416.81