Finding the Third Proportional to 35,894 and 53,490

Step by Step Solution

1. Step 1: Write the proportion equation
   35,894 : 53,490 = 53,490 : x
2. Step 2: Convert to fraction form
   35,894/53,490 = 53,490/x
3. Step 3: Cross multiply
   35,894x = 53,490 × 53,490
4. Step 4: Simplify right side
   35,894x = 2,861,180,100
5. Step 5: Solve for x
   x = 2,861,180,100/35,894
6. Step 6: Final answer
   x = 79,711.93