Finding the Third Proportional to 34,581 and 53,490

Step by Step Solution

1. Step 1: Write the proportion equation
   34,581 : 53,490 = 53,490 : x
2. Step 2: Convert to fraction form
   34,581/53,490 = 53,490/x
3. Step 3: Cross multiply
   34,581x = 53,490 × 53,490
4. Step 4: Simplify right side
   34,581x = 2,861,180,100
5. Step 5: Solve for x
   x = 2,861,180,100/34,581
6. Step 6: Final answer
   x = 82,738.50