Finding the Third Proportional to 42,894 and 61,880

Step by Step Solution

1. Step 1: Write the proportion equation
   42,894 : 61,880 = 61,880 : x
2. Step 2: Convert to fraction form
   42,894/61,880 = 61,880/x
3. Step 3: Cross multiply
   42,894x = 61,880 × 61,880
4. Step 4: Simplify right side
   42,894x = 3,829,134,400
5. Step 5: Solve for x
   x = 3,829,134,400/42,894
6. Step 6: Final answer
   x = 89,269.70