Finding the Third Proportional to 37,505.25 and 88,534.13

Step by Step Solution

1. Step 1: Write the proportion equation
   37,505.25 : 88,534.13 = 88,534.13 : x
2. Step 2: Convert to fraction form
   37,505.25/88,534.13 = 88,534.13/x
3. Step 3: Cross multiply
   37,505.25x = 88,534.13 × 88,534.13
4. Step 4: Simplify right side
   37,505.25x = 7,838,291,289.52
5. Step 5: Solve for x
   x = 7,838,291,289.52/37,505.25
6. Step 6: Final answer
   x = 208,991.84