Finding the Third Proportional to 38,664 and 58,536

Step by Step Solution

1. Step 1: Write the proportion equation
   38,664 : 58,536 = 58,536 : x
2. Step 2: Convert to fraction form
   38,664/58,536 = 58,536/x
3. Step 3: Cross multiply
   38,664x = 58,536 × 58,536
4. Step 4: Simplify right side
   38,664x = 3,426,463,296
5. Step 5: Solve for x
   x = 3,426,463,296/38,664
6. Step 6: Final answer
   x = 88,621.54