Finding the Third Proportional to 38,013 and 58,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,013 : 58,513.50 = 58,513.50 : x
2. Step 2: Convert to fraction form
   38,013/58,513.50 = 58,513.50/x
3. Step 3: Cross multiply
   38,013x = 58,513.50 × 58,513.50
4. Step 4: Simplify right side
   38,013x = 3,423,829,682.25
5. Step 5: Solve for x
   x = 3,423,829,682.25/38,013
6. Step 6: Final answer
   x = 90,069.97