Finding the Third Proportional to 37,972 and 59,052

Step by Step Solution

1. Step 1: Write the proportion equation
   37,972 : 59,052 = 59,052 : x
2. Step 2: Convert to fraction form
   37,972/59,052 = 59,052/x
3. Step 3: Cross multiply
   37,972x = 59,052 × 59,052
4. Step 4: Simplify right side
   37,972x = 3,487,138,704
5. Step 5: Solve for x
   x = 3,487,138,704/37,972
6. Step 6: Final answer
   x = 91,834.48