Finding the Third Proportional to 38,493 and 89,428.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,493 : 89,428.50 = 89,428.50 : x
2. Step 2: Convert to fraction form
   38,493/89,428.50 = 89,428.50/x
3. Step 3: Cross multiply
   38,493x = 89,428.50 × 89,428.50
4. Step 4: Simplify right side
   38,493x = 7,997,456,612.25
5. Step 5: Solve for x
   x = 7,997,456,612.25/38,493
6. Step 6: Final answer
   x = 207,763.92