Finding the Third Proportional to 37,852.75 and 58,778.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,852.75 : 58,778.50 = 58,778.50 : x
2. Step 2: Convert to fraction form
   37,852.75/58,778.50 = 58,778.50/x
3. Step 3: Cross multiply
   37,852.75x = 58,778.50 × 58,778.50
4. Step 4: Simplify right side
   37,852.75x = 3,454,912,062.25
5. Step 5: Solve for x
   x = 3,454,912,062.25/37,852.75
6. Step 6: Final answer
   x = 91,272.42