Finding the Third Proportional to 37,560 and 58,495.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,560 : 58,495.50 = 58,495.50 : x
2. Step 2: Convert to fraction form
   37,560/58,495.50 = 58,495.50/x
3. Step 3: Cross multiply
   37,560x = 58,495.50 × 58,495.50
4. Step 4: Simplify right side
   37,560x = 3,421,723,520.25
5. Step 5: Solve for x
   x = 3,421,723,520.25/37,560
6. Step 6: Final answer
   x = 91,100.20