Finding the Third Proportional to 34,870 and 84,052

Step by Step Solution

1. Step 1: Write the proportion equation
   34,870 : 84,052 = 84,052 : x
2. Step 2: Convert to fraction form
   34,870/84,052 = 84,052/x
3. Step 3: Cross multiply
   34,870x = 84,052 × 84,052
4. Step 4: Simplify right side
   34,870x = 7,064,738,704
5. Step 5: Solve for x
   x = 7,064,738,704/34,870
6. Step 6: Final answer
   x = 202,602.20