Finding the Third Proportional to 42,689.63 and 64,172.25

Step by Step Solution

1. Step 1: Write the proportion equation
   42,689.63 : 64,172.25 = 64,172.25 : x
2. Step 2: Convert to fraction form
   42,689.63/64,172.25 = 64,172.25/x
3. Step 3: Cross multiply
   42,689.63x = 64,172.25 × 64,172.25
4. Step 4: Simplify right side
   42,689.63x = 4,118,077,670.06
5. Step 5: Solve for x
   x = 4,118,077,670.06/42,689.63
6. Step 6: Final answer
   x = 96,465.54