Finding the Third Proportional to 42,772.50 and 91,539

Step by Step Solution

1. Step 1: Write the proportion equation
   42,772.50 : 91,539 = 91,539 : x
2. Step 2: Convert to fraction form
   42,772.50/91,539 = 91,539/x
3. Step 3: Cross multiply
   42,772.50x = 91,539 × 91,539
4. Step 4: Simplify right side
   42,772.50x = 8,379,388,521
5. Step 5: Solve for x
   x = 8,379,388,521/42,772.50
6. Step 6: Final answer
   x = 195,905.98