Finding the Third Proportional to 37,624.50 and 58,289.63

Step by Step Solution

1. Step 1: Write the proportion equation
   37,624.50 : 58,289.63 = 58,289.63 : x
2. Step 2: Convert to fraction form
   37,624.50/58,289.63 = 58,289.63/x
3. Step 3: Cross multiply
   37,624.50x = 58,289.63 × 58,289.63
4. Step 4: Simplify right side
   37,624.50x = 3,397,680,382.64
5. Step 5: Solve for x
   x = 3,397,680,382.64/37,624.50
6. Step 6: Final answer
   x = 90,305.00