Finding the Third Proportional to 37,948 and 58,632

Step by Step Solution

1. Step 1: Write the proportion equation
   37,948 : 58,632 = 58,632 : x
2. Step 2: Convert to fraction form
   37,948/58,632 = 58,632/x
3. Step 3: Cross multiply
   37,948x = 58,632 × 58,632
4. Step 4: Simplify right side
   37,948x = 3,437,711,424
5. Step 5: Solve for x
   x = 3,437,711,424/37,948
6. Step 6: Final answer
   x = 90,590.06