Finding the Third Proportional to 36,747 and 58,402.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,747 : 58,402.50 = 58,402.50 : x
2. Step 2: Convert to fraction form
   36,747/58,402.50 = 58,402.50/x
3. Step 3: Cross multiply
   36,747x = 58,402.50 × 58,402.50
4. Step 4: Simplify right side
   36,747x = 3,410,852,006.25
5. Step 5: Solve for x
   x = 3,410,852,006.25/36,747
6. Step 6: Final answer
   x = 92,819.88