Finding the Third Proportional to 42,010 and 85,940

Step by Step Solution

1. Step 1: Write the proportion equation
   42,010 : 85,940 = 85,940 : x
2. Step 2: Convert to fraction form
   42,010/85,940 = 85,940/x
3. Step 3: Cross multiply
   42,010x = 85,940 × 85,940
4. Step 4: Simplify right side
   42,010x = 7,385,683,600
5. Step 5: Solve for x
   x = 7,385,683,600/42,010
6. Step 6: Final answer
   x = 175,807.75