Finding the Third Proportional to 37,766.06 and 83,124.56

Step by Step Solution

1. Step 1: Write the proportion equation
   37,766.06 : 83,124.56 = 83,124.56 : x
2. Step 2: Convert to fraction form
   37,766.06/83,124.56 = 83,124.56/x
3. Step 3: Cross multiply
   37,766.06x = 83,124.56 × 83,124.56
4. Step 4: Simplify right side
   37,766.06x = 6,909,692,890.82
5. Step 5: Solve for x
   x = 6,909,692,890.82/37,766.06
6. Step 6: Final answer
   x = 182,960.37