Finding the Third Proportional to 38,154 and 58,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,154 : 58,369.50 = 58,369.50 : x
2. Step 2: Convert to fraction form
   38,154/58,369.50 = 58,369.50/x
3. Step 3: Cross multiply
   38,154x = 58,369.50 × 58,369.50
4. Step 4: Simplify right side
   38,154x = 3,406,998,530.25
5. Step 5: Solve for x
   x = 3,406,998,530.25/38,154
6. Step 6: Final answer
   x = 89,295.97