Finding the Third Proportional to 37,792 and 58,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,792 : 58,985.50 = 58,985.50 : x
2. Step 2: Convert to fraction form
   37,792/58,985.50 = 58,985.50/x
3. Step 3: Cross multiply
   37,792x = 58,985.50 × 58,985.50
4. Step 4: Simplify right side
   37,792x = 3,479,289,210.25
5. Step 5: Solve for x
   x = 3,479,289,210.25/37,792
6. Step 6: Final answer
   x = 92,064.17