Finding the Third Proportional to 42,624 and 64,527

Step by Step Solution

1. Step 1: Write the proportion equation
   42,624 : 64,527 = 64,527 : x
2. Step 2: Convert to fraction form
   42,624/64,527 = 64,527/x
3. Step 3: Cross multiply
   42,624x = 64,527 × 64,527
4. Step 4: Simplify right side
   42,624x = 4,163,733,729
5. Step 5: Solve for x
   x = 4,163,733,729/42,624
6. Step 6: Final answer
   x = 97,685.19