Finding the Third Proportional to 37,575 and 58,016.25

Step by Step Solution

1. Step 1: Write the proportion equation
   37,575 : 58,016.25 = 58,016.25 : x
2. Step 2: Convert to fraction form
   37,575/58,016.25 = 58,016.25/x
3. Step 3: Cross multiply
   37,575x = 58,016.25 × 58,016.25
4. Step 4: Simplify right side
   37,575x = 3,365,885,264.06
5. Step 5: Solve for x
   x = 3,365,885,264.06/37,575
6. Step 6: Final answer
   x = 89,577.78