Finding the Third Proportional to 38,865.66 and 82,402.00

Step by Step Solution

1. Step 1: Write the proportion equation
   38,865.66 : 82,402.00 = 82,402.00 : x
2. Step 2: Convert to fraction form
   38,865.66/82,402.00 = 82,402.00/x
3. Step 3: Cross multiply
   38,865.66x = 82,402.00 × 82,402.00
4. Step 4: Simplify right side
   38,865.66x = 6,790,088,960.23
5. Step 5: Solve for x
   x = 6,790,088,960.23/38,865.66
6. Step 6: Final answer
   x = 174,706.66