Finding the Third Proportional to 38,876.63 and 83,266.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,876.63 : 83,266.13 = 83,266.13 : x
2. Step 2: Convert to fraction form
   38,876.63/83,266.13 = 83,266.13/x
3. Step 3: Cross multiply
   38,876.63x = 83,266.13 × 83,266.13
4. Step 4: Simplify right side
   38,876.63x = 6,933,247,572.52
5. Step 5: Solve for x
   x = 6,933,247,572.52/38,876.63
6. Step 6: Final answer
   x = 178,339.75