Finding the Third Proportional to 37,935 and 82,876.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,935 : 82,876.50 = 82,876.50 : x
2. Step 2: Convert to fraction form
   37,935/82,876.50 = 82,876.50/x
3. Step 3: Cross multiply
   37,935x = 82,876.50 × 82,876.50
4. Step 4: Simplify right side
   37,935x = 6,868,514,252.25
5. Step 5: Solve for x
   x = 6,868,514,252.25/37,935
6. Step 6: Final answer
   x = 181,060.08