Finding the Third Proportional to 37,972 and 58,448

Step by Step Solution

1. Step 1: Write the proportion equation
   37,972 : 58,448 = 58,448 : x
2. Step 2: Convert to fraction form
   37,972/58,448 = 58,448/x
3. Step 3: Cross multiply
   37,972x = 58,448 × 58,448
4. Step 4: Simplify right side
   37,972x = 3,416,168,704
5. Step 5: Solve for x
   x = 3,416,168,704/37,972
6. Step 6: Final answer
   x = 89,965.47