Finding the Third Proportional to 38,000 and 58,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,000 : 58,493.50 = 58,493.50 : x
2. Step 2: Convert to fraction form
   38,000/58,493.50 = 58,493.50/x
3. Step 3: Cross multiply
   38,000x = 58,493.50 × 58,493.50
4. Step 4: Simplify right side
   38,000x = 3,421,489,542.25
5. Step 5: Solve for x
   x = 3,421,489,542.25/38,000
6. Step 6: Final answer
   x = 90,039.20