Finding the Third Proportional to 34,209 and 52,947

Step by Step Solution

1. Step 1: Write the proportion equation
   34,209 : 52,947 = 52,947 : x
2. Step 2: Convert to fraction form
   34,209/52,947 = 52,947/x
3. Step 3: Cross multiply
   34,209x = 52,947 × 52,947
4. Step 4: Simplify right side
   34,209x = 2,803,384,809
5. Step 5: Solve for x
   x = 2,803,384,809/34,209
6. Step 6: Final answer
   x = 81,948.75