Finding the Third Proportional to 38,140.50 and 89,097

Step by Step Solution

1. Step 1: Write the proportion equation
   38,140.50 : 89,097 = 89,097 : x
2. Step 2: Convert to fraction form
   38,140.50/89,097 = 89,097/x
3. Step 3: Cross multiply
   38,140.50x = 89,097 × 89,097
4. Step 4: Simplify right side
   38,140.50x = 7,938,275,409
5. Step 5: Solve for x
   x = 7,938,275,409/38,140.50
6. Step 6: Final answer
   x = 208,132.44