Finding the Third Proportional to 38,314.50 and 89,035.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,314.50 : 89,035.50 = 89,035.50 : x
2. Step 2: Convert to fraction form
   38,314.50/89,035.50 = 89,035.50/x
3. Step 3: Cross multiply
   38,314.50x = 89,035.50 × 89,035.50
4. Step 4: Simplify right side
   38,314.50x = 7,927,320,260.25
5. Step 5: Solve for x
   x = 7,927,320,260.25/38,314.50
6. Step 6: Final answer
   x = 206,901.31