Finding the Third Proportional to 37,507 and 58,052

Step by Step Solution

1. Step 1: Write the proportion equation
   37,507 : 58,052 = 58,052 : x
2. Step 2: Convert to fraction form
   37,507/58,052 = 58,052/x
3. Step 3: Cross multiply
   37,507x = 58,052 × 58,052
4. Step 4: Simplify right side
   37,507x = 3,370,034,704
5. Step 5: Solve for x
   x = 3,370,034,704/37,507
6. Step 6: Final answer
   x = 89,850.82