Finding the Third Proportional to 37,678.25 and 58,288.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678.25 : 58,288.50 = 58,288.50 : x
2. Step 2: Convert to fraction form
   37,678.25/58,288.50 = 58,288.50/x
3. Step 3: Cross multiply
   37,678.25x = 58,288.50 × 58,288.50
4. Step 4: Simplify right side
   37,678.25x = 3,397,549,232.25
5. Step 5: Solve for x
   x = 3,397,549,232.25/37,678.25
6. Step 6: Final answer
   x = 90,172.69