Finding the Third Proportional to 38,097 and 58,113

Step by Step Solution

1. Step 1: Write the proportion equation
   38,097 : 58,113 = 58,113 : x
2. Step 2: Convert to fraction form
   38,097/58,113 = 58,113/x
3. Step 3: Cross multiply
   38,097x = 58,113 × 58,113
4. Step 4: Simplify right side
   38,097x = 3,377,120,769
5. Step 5: Solve for x
   x = 3,377,120,769/38,097
6. Step 6: Final answer
   x = 88,645.32