Finding the Third Proportional to 19,461 and 41,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,461 : 41,680.50 = 41,680.50 : x
2. Step 2: Convert to fraction form
   19,461/41,680.50 = 41,680.50/x
3. Step 3: Cross multiply
   19,461x = 41,680.50 × 41,680.50
4. Step 4: Simplify right side
   19,461x = 1,737,264,080.25
5. Step 5: Solve for x
   x = 1,737,264,080.25/19,461
6. Step 6: Final answer
   x = 89,269.00