Finding the Third Proportional to 37,672.13 and 82,876.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,672.13 : 82,876.88 = 82,876.88 : x
2. Step 2: Convert to fraction form
   37,672.13/82,876.88 = 82,876.88/x
3. Step 3: Cross multiply
   37,672.13x = 82,876.88 × 82,876.88
4. Step 4: Simplify right side
   37,672.13x = 6,868,576,409.77
5. Step 5: Solve for x
   x = 6,868,576,409.77/37,672.13
6. Step 6: Final answer
   x = 182,325.17