Finding the Third Proportional to 34,526 and 72,536

Step by Step Solution

1. Step 1: Write the proportion equation
   34,526 : 72,536 = 72,536 : x
2. Step 2: Convert to fraction form
   34,526/72,536 = 72,536/x
3. Step 3: Cross multiply
   34,526x = 72,536 × 72,536
4. Step 4: Simplify right side
   34,526x = 5,261,471,296
5. Step 5: Solve for x
   x = 5,261,471,296/34,526
6. Step 6: Final answer
   x = 152,391.57