Finding the Third Proportional to 66,006 and 89,680.50

Step by Step Solution

1. Step 1: Write the proportion equation
   66,006 : 89,680.50 = 89,680.50 : x
2. Step 2: Convert to fraction form
   66,006/89,680.50 = 89,680.50/x
3. Step 3: Cross multiply
   66,006x = 89,680.50 × 89,680.50
4. Step 4: Simplify right side
   66,006x = 8,042,592,080.25
5. Step 5: Solve for x
   x = 8,042,592,080.25/66,006
6. Step 6: Final answer
   x = 121,846.38