Finding the Third Proportional to 37,654.50 and 81,510

Step by Step Solution

1. Step 1: Write the proportion equation
   37,654.50 : 81,510 = 81,510 : x
2. Step 2: Convert to fraction form
   37,654.50/81,510 = 81,510/x
3. Step 3: Cross multiply
   37,654.50x = 81,510 × 81,510
4. Step 4: Simplify right side
   37,654.50x = 6,643,880,100
5. Step 5: Solve for x
   x = 6,643,880,100/37,654.50
6. Step 6: Final answer
   x = 176,443.19