Finding the Third Proportional to 42,016.50 and 91,737

Step by Step Solution

1. Step 1: Write the proportion equation
   42,016.50 : 91,737 = 91,737 : x
2. Step 2: Convert to fraction form
   42,016.50/91,737 = 91,737/x
3. Step 3: Cross multiply
   42,016.50x = 91,737 × 91,737
4. Step 4: Simplify right side
   42,016.50x = 8,415,677,169
5. Step 5: Solve for x
   x = 8,415,677,169/42,016.50
6. Step 6: Final answer
   x = 200,294.58