Finding the Third Proportional to 37,100 and 55,641

Step by Step Solution

1. Step 1: Write the proportion equation
   37,100 : 55,641 = 55,641 : x
2. Step 2: Convert to fraction form
   37,100/55,641 = 55,641/x
3. Step 3: Cross multiply
   37,100x = 55,641 × 55,641
4. Step 4: Simplify right side
   37,100x = 3,095,920,881
5. Step 5: Solve for x
   x = 3,095,920,881/37,100
6. Step 6: Final answer
   x = 83,448.00