Finding the Third Proportional to 38,090 and 59,565

Step by Step Solution

1. Step 1: Write the proportion equation
   38,090 : 59,565 = 59,565 : x
2. Step 2: Convert to fraction form
   38,090/59,565 = 59,565/x
3. Step 3: Cross multiply
   38,090x = 59,565 × 59,565
4. Step 4: Simplify right side
   38,090x = 3,547,989,225
5. Step 5: Solve for x
   x = 3,547,989,225/38,090
6. Step 6: Final answer
   x = 93,147.52