Finding the Third Proportional to 37,461.75 and 52,696.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,461.75 : 52,696.50 = 52,696.50 : x
2. Step 2: Convert to fraction form
   37,461.75/52,696.50 = 52,696.50/x
3. Step 3: Cross multiply
   37,461.75x = 52,696.50 × 52,696.50
4. Step 4: Simplify right side
   37,461.75x = 2,776,921,112.25
5. Step 5: Solve for x
   x = 2,776,921,112.25/37,461.75
6. Step 6: Final answer
   x = 74,126.84