Finding the Third Proportional to 42,265.50 and 85,692

Step by Step Solution

1. Step 1: Write the proportion equation
   42,265.50 : 85,692 = 85,692 : x
2. Step 2: Convert to fraction form
   42,265.50/85,692 = 85,692/x
3. Step 3: Cross multiply
   42,265.50x = 85,692 × 85,692
4. Step 4: Simplify right side
   42,265.50x = 7,343,118,864
5. Step 5: Solve for x
   x = 7,343,118,864/42,265.50
6. Step 6: Final answer
   x = 173,737.89