Finding the Third Proportional to 37,209 and 53,046

Step by Step Solution

1. Step 1: Write the proportion equation
   37,209 : 53,046 = 53,046 : x
2. Step 2: Convert to fraction form
   37,209/53,046 = 53,046/x
3. Step 3: Cross multiply
   37,209x = 53,046 × 53,046
4. Step 4: Simplify right side
   37,209x = 2,813,878,116
5. Step 5: Solve for x
   x = 2,813,878,116/37,209
6. Step 6: Final answer
   x = 75,623.59