Finding the Third Proportional to 37,526 and 58,083

Step by Step Solution

1. Step 1: Write the proportion equation
   37,526 : 58,083 = 58,083 : x
2. Step 2: Convert to fraction form
   37,526/58,083 = 58,083/x
3. Step 3: Cross multiply
   37,526x = 58,083 × 58,083
4. Step 4: Simplify right side
   37,526x = 3,373,634,889
5. Step 5: Solve for x
   x = 3,373,634,889/37,526
6. Step 6: Final answer
   x = 89,901.27