Finding the Third Proportional to 38,870 and 85,606

Step by Step Solution

1. Step 1: Write the proportion equation
   38,870 : 85,606 = 85,606 : x
2. Step 2: Convert to fraction form
   38,870/85,606 = 85,606/x
3. Step 3: Cross multiply
   38,870x = 85,606 × 85,606
4. Step 4: Simplify right side
   38,870x = 7,328,387,236
5. Step 5: Solve for x
   x = 7,328,387,236/38,870
6. Step 6: Final answer
   x = 188,535.82