Finding the Third Proportional to 66,762 and 89,180

Step by Step Solution

1. Step 1: Write the proportion equation
   66,762 : 89,180 = 89,180 : x
2. Step 2: Convert to fraction form
   66,762/89,180 = 89,180/x
3. Step 3: Cross multiply
   66,762x = 89,180 × 89,180
4. Step 4: Simplify right side
   66,762x = 7,953,072,400
5. Step 5: Solve for x
   x = 7,953,072,400/66,762
6. Step 6: Final answer
   x = 119,125.74