Finding the Third Proportional to 37,952 and 83,296

Step by Step Solution

1. Step 1: Write the proportion equation
   37,952 : 83,296 = 83,296 : x
2. Step 2: Convert to fraction form
   37,952/83,296 = 83,296/x
3. Step 3: Cross multiply
   37,952x = 83,296 × 83,296
4. Step 4: Simplify right side
   37,952x = 6,938,223,616
5. Step 5: Solve for x
   x = 6,938,223,616/37,952
6. Step 6: Final answer
   x = 182,815.76