Finding the Third Proportional to 42,580 and 64,460

Step by Step Solution

1. Step 1: Write the proportion equation
   42,580 : 64,460 = 64,460 : x
2. Step 2: Convert to fraction form
   42,580/64,460 = 64,460/x
3. Step 3: Cross multiply
   42,580x = 64,460 × 64,460
4. Step 4: Simplify right side
   42,580x = 4,155,091,600
5. Step 5: Solve for x
   x = 4,155,091,600/42,580
6. Step 6: Final answer
   x = 97,583.18