Finding the Third Proportional to 38,410.50 and 81,222

Step by Step Solution

1. Step 1: Write the proportion equation
   38,410.50 : 81,222 = 81,222 : x
2. Step 2: Convert to fraction form
   38,410.50/81,222 = 81,222/x
3. Step 3: Cross multiply
   38,410.50x = 81,222 × 81,222
4. Step 4: Simplify right side
   38,410.50x = 6,597,013,284
5. Step 5: Solve for x
   x = 6,597,013,284/38,410.50
6. Step 6: Final answer
   x = 171,750.26