Finding the Third Proportional to 37,688 and 58,390

Step by Step Solution

1. Step 1: Write the proportion equation
   37,688 : 58,390 = 58,390 : x
2. Step 2: Convert to fraction form
   37,688/58,390 = 58,390/x
3. Step 3: Cross multiply
   37,688x = 58,390 × 58,390
4. Step 4: Simplify right side
   37,688x = 3,409,392,100
5. Step 5: Solve for x
   x = 3,409,392,100/37,688
6. Step 6: Final answer
   x = 90,463.60