Finding the Third Proportional to 37,584 and 58,036.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 58,036.50 = 58,036.50 : x
2. Step 2: Convert to fraction form
   37,584/58,036.50 = 58,036.50/x
3. Step 3: Cross multiply
   37,584x = 58,036.50 × 58,036.50
4. Step 4: Simplify right side
   37,584x = 3,368,235,332.25
5. Step 5: Solve for x
   x = 3,368,235,332.25/37,584
6. Step 6: Final answer
   x = 89,618.86