Finding the Third Proportional to 37,680.50 and 58,292

Step by Step Solution

1. Step 1: Write the proportion equation
   37,680.50 : 58,292 = 58,292 : x
2. Step 2: Convert to fraction form
   37,680.50/58,292 = 58,292/x
3. Step 3: Cross multiply
   37,680.50x = 58,292 × 58,292
4. Step 4: Simplify right side
   37,680.50x = 3,397,957,264
5. Step 5: Solve for x
   x = 3,397,957,264/37,680.50
6. Step 6: Final answer
   x = 90,178.14