Finding the Third Proportional to 37,706.50 and 56,013

Step by Step Solution

1. Step 1: Write the proportion equation
   37,706.50 : 56,013 = 56,013 : x
2. Step 2: Convert to fraction form
   37,706.50/56,013 = 56,013/x
3. Step 3: Cross multiply
   37,706.50x = 56,013 × 56,013
4. Step 4: Simplify right side
   37,706.50x = 3,137,456,169
5. Step 5: Solve for x
   x = 3,137,456,169/37,706.50
6. Step 6: Final answer
   x = 83,207.30