Finding the Third Proportional to 59,376 and 91,820

Step by Step Solution

1. Step 1: Write the proportion equation
   59,376 : 91,820 = 91,820 : x
2. Step 2: Convert to fraction form
   59,376/91,820 = 91,820/x
3. Step 3: Cross multiply
   59,376x = 91,820 × 91,820
4. Step 4: Simplify right side
   59,376x = 8,430,912,400
5. Step 5: Solve for x
   x = 8,430,912,400/59,376
6. Step 6: Final answer
   x = 141,991.92