Finding the Third Proportional to 42,090 and 64,614

Step by Step Solution

1. Step 1: Write the proportion equation
   42,090 : 64,614 = 64,614 : x
2. Step 2: Convert to fraction form
   42,090/64,614 = 64,614/x
3. Step 3: Cross multiply
   42,090x = 64,614 × 64,614
4. Step 4: Simplify right side
   42,090x = 4,174,968,996
5. Step 5: Solve for x
   x = 4,174,968,996/42,090
6. Step 6: Final answer
   x = 99,191.47