Finding the Third Proportional to 37,672.50 and 83,013

Step by Step Solution

1. Step 1: Write the proportion equation
   37,672.50 : 83,013 = 83,013 : x
2. Step 2: Convert to fraction form
   37,672.50/83,013 = 83,013/x
3. Step 3: Cross multiply
   37,672.50x = 83,013 × 83,013
4. Step 4: Simplify right side
   37,672.50x = 6,891,158,169
5. Step 5: Solve for x
   x = 6,891,158,169/37,672.50
6. Step 6: Final answer
   x = 182,922.77