Finding the Third Proportional to 38,778 and 58,152

Step by Step Solution

1. Step 1: Write the proportion equation
   38,778 : 58,152 = 58,152 : x
2. Step 2: Convert to fraction form
   38,778/58,152 = 58,152/x
3. Step 3: Cross multiply
   38,778x = 58,152 × 58,152
4. Step 4: Simplify right side
   38,778x = 3,381,655,104
5. Step 5: Solve for x
   x = 3,381,655,104/38,778
6. Step 6: Final answer
   x = 87,205.51