Finding the Third Proportional to 42,294 and 61,441.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,294 : 61,441.50 = 61,441.50 : x
2. Step 2: Convert to fraction form
   42,294/61,441.50 = 61,441.50/x
3. Step 3: Cross multiply
   42,294x = 61,441.50 × 61,441.50
4. Step 4: Simplify right side
   42,294x = 3,775,057,922.25
5. Step 5: Solve for x
   x = 3,775,057,922.25/42,294
6. Step 6: Final answer
   x = 89,257.53