Finding the Third Proportional to 34,705.50 and 76,035

Step by Step Solution

1. Step 1: Write the proportion equation
   34,705.50 : 76,035 = 76,035 : x
2. Step 2: Convert to fraction form
   34,705.50/76,035 = 76,035/x
3. Step 3: Cross multiply
   34,705.50x = 76,035 × 76,035
4. Step 4: Simplify right side
   34,705.50x = 5,781,321,225
5. Step 5: Solve for x
   x = 5,781,321,225/34,705.50
6. Step 6: Final answer
   x = 166,582.28