Finding the Third Proportional to 45,264 and 59,526

Step by Step Solution

1. Step 1: Write the proportion equation
   45,264 : 59,526 = 59,526 : x
2. Step 2: Convert to fraction form
   45,264/59,526 = 59,526/x
3. Step 3: Cross multiply
   45,264x = 59,526 × 59,526
4. Step 4: Simplify right side
   45,264x = 3,543,344,676
5. Step 5: Solve for x
   x = 3,543,344,676/45,264
6. Step 6: Final answer
   x = 78,281.74