Finding the Third Proportional to 37,637.50 and 81,774.88

Step by Step Solution

1. Step 1: Write the proportion equation
   37,637.50 : 81,774.88 = 81,774.88 : x
2. Step 2: Convert to fraction form
   37,637.50/81,774.88 = 81,774.88/x
3. Step 3: Cross multiply
   37,637.50x = 81,774.88 × 81,774.88
4. Step 4: Simplify right side
   37,637.50x = 6,687,130,181.27
5. Step 5: Solve for x
   x = 6,687,130,181.27/37,637.50
6. Step 6: Final answer
   x = 177,672.01