Finding the Third Proportional to 38,777 and 58,490

Step by Step Solution

1. Step 1: Write the proportion equation
   38,777 : 58,490 = 58,490 : x
2. Step 2: Convert to fraction form
   38,777/58,490 = 58,490/x
3. Step 3: Cross multiply
   38,777x = 58,490 × 58,490
4. Step 4: Simplify right side
   38,777x = 3,421,080,100
5. Step 5: Solve for x
   x = 3,421,080,100/38,777
6. Step 6: Final answer
   x = 88,224.47