Finding the Third Proportional to 37,762 and 58,269

Step by Step Solution

1. Step 1: Write the proportion equation
   37,762 : 58,269 = 58,269 : x
2. Step 2: Convert to fraction form
   37,762/58,269 = 58,269/x
3. Step 3: Cross multiply
   37,762x = 58,269 × 58,269
4. Step 4: Simplify right side
   37,762x = 3,395,276,361
5. Step 5: Solve for x
   x = 3,395,276,361/37,762
6. Step 6: Final answer
   x = 89,912.51