Finding the Third Proportional to 37,488 and 81,505.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,488 : 81,505.50 = 81,505.50 : x
2. Step 2: Convert to fraction form
   37,488/81,505.50 = 81,505.50/x
3. Step 3: Cross multiply
   37,488x = 81,505.50 × 81,505.50
4. Step 4: Simplify right side
   37,488x = 6,643,146,530.25
5. Step 5: Solve for x
   x = 6,643,146,530.25/37,488
6. Step 6: Final answer
   x = 177,207.28