Finding the Third Proportional to 37,300 and 81,154

Step by Step Solution

1. Step 1: Write the proportion equation
   37,300 : 81,154 = 81,154 : x
2. Step 2: Convert to fraction form
   37,300/81,154 = 81,154/x
3. Step 3: Cross multiply
   37,300x = 81,154 × 81,154
4. Step 4: Simplify right side
   37,300x = 6,585,971,716
5. Step 5: Solve for x
   x = 6,585,971,716/37,300
6. Step 6: Final answer
   x = 176,567.61