Finding the Third Proportional to 34,636 and 83,746

Step by Step Solution

1. Step 1: Write the proportion equation
   34,636 : 83,746 = 83,746 : x
2. Step 2: Convert to fraction form
   34,636/83,746 = 83,746/x
3. Step 3: Cross multiply
   34,636x = 83,746 × 83,746
4. Step 4: Simplify right side
   34,636x = 7,013,392,516
5. Step 5: Solve for x
   x = 7,013,392,516/34,636
6. Step 6: Final answer
   x = 202,488.52