Finding the Third Proportional to 38,664 and 58,428

Step by Step Solution

1. Step 1: Write the proportion equation
   38,664 : 58,428 = 58,428 : x
2. Step 2: Convert to fraction form
   38,664/58,428 = 58,428/x
3. Step 3: Cross multiply
   38,664x = 58,428 × 58,428
4. Step 4: Simplify right side
   38,664x = 3,413,831,184
5. Step 5: Solve for x
   x = 3,413,831,184/38,664
6. Step 6: Final answer
   x = 88,294.83