Finding the Third Proportional to 42,538.50 and 93,771

Step by Step Solution

1. Step 1: Write the proportion equation
   42,538.50 : 93,771 = 93,771 : x
2. Step 2: Convert to fraction form
   42,538.50/93,771 = 93,771/x
3. Step 3: Cross multiply
   42,538.50x = 93,771 × 93,771
4. Step 4: Simplify right side
   42,538.50x = 8,793,000,441
5. Step 5: Solve for x
   x = 8,793,000,441/42,538.50
6. Step 6: Final answer
   x = 206,706.88