Finding the Third Proportional to 38,788 and 58,506

Step by Step Solution

1. Step 1: Write the proportion equation
   38,788 : 58,506 = 58,506 : x
2. Step 2: Convert to fraction form
   38,788/58,506 = 58,506/x
3. Step 3: Cross multiply
   38,788x = 58,506 × 58,506
4. Step 4: Simplify right side
   38,788x = 3,422,952,036
5. Step 5: Solve for x
   x = 3,422,952,036/38,788
6. Step 6: Final answer
   x = 88,247.71