Finding the Third Proportional to 37,620 and 89,127

Step by Step Solution

1. Step 1: Write the proportion equation
   37,620 : 89,127 = 89,127 : x
2. Step 2: Convert to fraction form
   37,620/89,127 = 89,127/x
3. Step 3: Cross multiply
   37,620x = 89,127 × 89,127
4. Step 4: Simplify right side
   37,620x = 7,943,622,129
5. Step 5: Solve for x
   x = 7,943,622,129/37,620
6. Step 6: Final answer
   x = 211,154.23