Finding the Third Proportional to 37,836 and 58,549.50

Step by Step Solution

1. Step 1: Write the proportion equation
   37,836 : 58,549.50 = 58,549.50 : x
2. Step 2: Convert to fraction form
   37,836/58,549.50 = 58,549.50/x
3. Step 3: Cross multiply
   37,836x = 58,549.50 × 58,549.50
4. Step 4: Simplify right side
   37,836x = 3,428,043,950.25
5. Step 5: Solve for x
   x = 3,428,043,950.25/37,836
6. Step 6: Final answer
   x = 90,602.71