Finding the Third Proportional to 38,280 and 59,124

Step by Step Solution

1. Step 1: Write the proportion equation
   38,280 : 59,124 = 59,124 : x
2. Step 2: Convert to fraction form
   38,280/59,124 = 59,124/x
3. Step 3: Cross multiply
   38,280x = 59,124 × 59,124
4. Step 4: Simplify right side
   38,280x = 3,495,647,376
5. Step 5: Solve for x
   x = 3,495,647,376/38,280
6. Step 6: Final answer
   x = 91,317.85